## Content

### January 2018, Volume 2018

**1-5 A Mathematical Bridge between Discretized Gauge Theories in Quantum Physics and Approximate Reasoning in Pairwise Comparisons***by*Jean-Pierre Magnot**1-6 Exact Formulation of the Transverse Dynamic Spin Susceptibility as an Initial-Value Problem***by*Arno Schindlmayr**1-8 Homotheties of a Class of Spherically Symmetric Space-Time Admitting as Maximal Isometry Group***by*Daud Ahmad & Kashif Habib**1-9 Quantum Walk in Terms of Quantum Bernoulli Noise and Quantum Central Limit Theorem for Quantum Bernoulli Noise***by*Caishi Wang & Ce Wang & Yuling Tang & Suling Ren**1-9 Fractional-Order Sliding Mode Synchronization for Fractional-Order Chaotic Systems***by*Chenhui Wang**1-9 Higher-Order Stationary Dispersive Equations on Bounded Intervals***by*N. A. Larkin & J. Luchesi**1-10 Regularization of the Boundary-Saddle-Node Bifurcation***by*Xia Liu**1-10 Two Types of Solutions to a Class of -Laplacian Systems with Critical Sobolev Exponents in***by*Jing Li & Caisheng Chen**1-11 Existence of Nontrivial Solutions for Generalized Quasilinear Schrödinger Equations with Critical Growth***by*Quanqing Li & Kaimin Teng & Xian Wu**1-12 Chaos in a System with an Absolute Nonlinearity and Chaos Synchronization***by*Victor Kamdoum Tamba & Karthikeyan Rajagopal & Viet-Thanh Pham & Duy Vo Hoang**1-12 Near-Integrability of Low-Dimensional Periodic Klein-Gordon Lattices***by*Ognyan Christov**1-18 Stability and Complexity Analysis of Temperature Index Model Considering Stochastic Perturbation***by*Jing Wang

### March 2018, Volume 2018

**1-4 Operator of Time and Generalized Schrödinger Equation***by*Slobodan Prvanović**1-6 Spacelike Hypersurfaces in Weighted Generalized Robertson-Walker Space-Times***by*Ximin Liu & Ning Zhang**1-7 On the Uniqueness of the Fock Quantization of the Dirac Field in the Closed FRW Cosmology***by*Jerónimo Cortez & Ilda Inácio Rodrigues & Mercedes Martín-Benito & José Velhinho**1-7 Symplectic Approach of Three-Dimensional Palatini Theory Plus a Chern-Simons Term***by*Alberto Escalante & Prihel Cavildo-Sánchez**1-7 On Regularity of a Weak Solution to the Navier–Stokes Equations with the Generalized Navier Slip Boundary Conditions***by*Jiří Neustupa & Patrick Penel**1-9 A Integrable Generalized Super-NLS-mKdV Hierarchy, Its Self-Consistent Sources, and Conservation Laws***by*Hanyu Wei & Tiecheng Xia**1-11 Low-Density Asymptotic Behavior of Observables of Hard Sphere Fluids***by*Viktor Gerasimenko & Igor Gapyak**1-13 Image Theory for Neumann Functions in the Prolate Spheroidal Geometry***by*Changfeng Xue & Robert Edmiston & Shaozhong Deng**1-24 Generalized -Attractor Models from Elementary Hyperbolic Surfaces***by*Elena Mirela Babalic & Calin Iuliu Lazaroiu

### April 2018, Volume 2018

**1-7 CCNV Space-Times as Potential Supergravity Solutions***by*A. Coley & D. McNutt & N. Pelavas**1-7 Reachable Set Bounding for a Class of Nonlinear Time-Varying Systems with Delay***by*Xingao Zhu & Yuangong Sun & Fanwei Meng**1-8 Suppression of Chaos in Porous Media Convection under Multifrequency Gravitational Modulation***by*Karam Allali**1-9 An Exact Solution of the Second-Order Differential Equation with the Fractional/Generalised Boundary Conditions***by*Mariusz Ciesielski & Tomasz Blaszczyk**1-10 Surface Localization in Impurity Band with Random Displacements and Long-Range Interactions***by*Victor Chulaevsky**1-11 Solitons and Other Exact Solutions for Two Nonlinear PDEs in Mathematical Physics Using the Generalized Projective Riccati Equations Method***by*A. M. Shahoot & K. A. E. Alurrfi & I. M. Hassan & A. M. Almsri**1-12 Residual-Based Simpler Block GMRES for Nonsymmetric Linear Systems with Multiple Right-Hand Sides***by*Qinghua Wu & Liang Bao & Yiqin Lin**1-13 On the Periodic Orbits of Four-Particle Time-Dependent FPU Chains***by*Hongwu Tang & Mingyan Xing & Qihuai Liu & Guirong Jiang**1-17 A Newton-Type Approach to Approximate Travelling Wave Solutions of a Schrödinger-Benjamin-Ono System***by*Juan Carlos Muñoz Grajales**1-20 Dipolar Excitation of a Perfectly Electrically Conducting Spheroid in a Lossless Medium at the Low-Frequency Regime***by*Panayiotis Vafeas

### May 2018, Volume 2018

**1-7 Coupled Sine-Gordon Systems in DNA Dynamics***by*Liya Liu & Chuanzhong Li**1-8 The Quantum Cheshire Cat Effect in the Presence of Decoherence***by*Monika Richter & Bartosz Dziewit & Jerzy Dajka**1-9 Multipoint Approximation of Statistical Descriptors of Local Strain and Stress Fields in Heterogeneous Media Using Integral Equation Method***by*Mikhail Tashkinov**1-9 Semiquantum Chaos in Two GaAs Quantum Dots Coupled Linearly and Quadratically by Two Harmonic Potentials in Two Dimensions***by*Emile Godwe & Justin Mibaile & Betchewe Gambo & Serge Y. Doka**1-9 Bifurcation Analysis of a Delayed Worm Propagation Model with Saturated Incidence***by*Zizhen Zhang & Yougang Wang & Luca Guerrini**1-9 Enriched -Conforming Methods for Elliptic Interface Problems with Implicit Jump Conditions***by*Gwanghyun Jo & Do Y. Kwak**1-10 Coulomb Planar Periodic Motion of Equal Charges in the Field of Equal Positive Charges Fixed at a Line and Constant Magnetic Field***by*W. I. Skrypnik**1-10 Multiscale Numerical Simulations of Branched Polymer Melt Viscoelastic Flow Based on Double-Equation XPP Model***by*Xuejuan Li & Liping Zhu & Hongyun Yue**1-10 Blow-Up and Global Existence Analysis for the Viscoelastic Wave Equation with a Frictional and a Kelvin-Voigt Damping***by*Fosheng Wang & Chengqiang Wang**1-13 On the Separability of Unitarily Invariant Random Quantum States: The Unbalanced Regime***by*Ion Nechita**1-24 Motion of a Spot in a Reaction Diffusion System under the Influence of Chemotaxis***by*Satoshi Kawaguchi**1-61 Formulas for Generalized Two-Qubit Separability Probabilities***by*Paul B. Slater

### February 2018, Volume 2018

**1-5 A Note on the Asymptotic and Threshold Behaviour of Discrete Eigenvalues inside the Spectral Gaps of the Difference Operator with a Periodic Potential***by*Gift Muchatibaya & Josiah Mushanyu**1-8 Topological Derivative for Imaging of Thin Electromagnetic Inhomogeneity: Least Condition of Incident Directions***by*Won-Kwang Park**1-8 Heat Transfer in MHD Flow due to a Linearly Stretching Sheet with Induced Magnetic Field***by*Tarek M. A. El-Mistikawy**1-8 Burgers’ Equations in the Riemannian Geometry Associated with First-Order Differential Equations***by*Z. Ok Bayrakdar & T. Bayrakdar**1-8 Traveling Wave Solutions of Two Nonlinear Wave Equations by -Expansion Method***by*Yazhou Shi & Xiangpeng Li & Ben-gong Zhang**1-9 Generalized Matrix Exponential Solutions to the AKNS Hierarchy***by*Jian-bing Zhang & Canyuan Gu & Wen-Xiu Ma**1-9 New Exact Superposition Solutions to KdV2 Equation***by*Piotr Rozmej & Anna Karczewska**1-10 The Quantization of a Kerr-AdS Black Hole***by*Claus Gerhardt**1-10 Generalized Pseudospectral Method and Zeros of Orthogonal Polynomials***by*Oksana Bihun & Clark Mourning**1-10 From the Kinematics of Precession Motion to Generalized Rabi Cycles***by*Danail S. Brezov & Clementina D. Mladenova & Ivaïlo M. Mladenov**1-11 Equations with Peakon Solutions in the Negative Order Camassa-Holm Hierarchy***by*Fengfeng Dong & Lingjun Zhou**1-13 Higher Approximations to Study Statistical Characteristics of Waves in Multiscale Inhomogeneous Media***by*M. V. Tinin

### June 2018, Volume 2018

**1-6 The Solution of Initial Boundary Value Problem with Time and Space-Fractional Diffusion Equation via a Novel Inner Product***by*Hulya Kodal Sevindir & Ali Demir**1-6 Explicit Solution of Elastostatic Boundary Value Problems for the Elastic Circle with Voids***by*Ivane Tsagareli**1-7 Existence and Uniqueness of Positive Solution for -Laplacian Kirchhoff-SchrÃ¶dinger-Type Equation***by*Wei Han & Jiangyan Yao**1-8 Global Energy Solution to the Schrödinger Equation Coupled with the Chern-Simons Gauge and Neutral Field***by*Hyungjin Huh & Bora Moon**1-8 On an Inverse Problem of Reconstructing a Heat Conduction Process from Nonlocal Data***by*Makhmud A. Sadybekov & Gulnar Dildabek & Marina B. Ivanova**1-9 Willmore-Like Tori in Killing Submersions***by*Manuel Barros & Óscar J. Garay & Álvaro Pámpano**1-9 Stability and Energy-Casimir Mapping for Integrable Deformations of the Kermack-McKendrick System***by*Cristian Lăzureanu & Camelia Petrişor**1-9 Exact Traveling Wave Solutions to the (2 + 1)-Dimensional Jaulent-Miodek Equation***by*Yongyi Gu & Bingmao Deng & Jianming Lin**1-9 Nonlinear Green’s Functions for Wave Equation with Quadratic and Hyperbolic Potentials***by*Asatur Zh. Khurshudyan**1-9 The Conformal Flow of Metrics and the General Penrose Inequality***by*Qing Han & Marcus Khuri**1-10 The Global Existence and Uniqueness of the Classical Solution with the Periodic Initial Value Problem for One-Dimension Klein-Gordon-Zakharov Equations***by*Cong Sun & Lixia Li**1-10 Preservers for the Tsallis Entropy of Convex Combinations of Density Operators***by*Xiaochun Fang & Yihui Lao**1-12 Statistics of Finite Scale Local Lyapunov Exponents in Fully Developed Homogeneous Isotropic Turbulence***by*Nicola de Divitiis**1-13 Adaptive Fuzzy Synchronization of Fractional-Order Chaotic Neural Networks with Backlash-Like Hysteresis***by*Wenqing Fu & Heng Liu**1-15 Exact Traveling Wave Solutions of Certain Nonlinear Partial Differential Equations Using the -Expansion Method***by*Sekson Sirisubtawee & Sanoe Koonprasert**1-19 The Inverse Problem of Identification of Hydrogen Permeability Model***by*Yury V. Zaika & Natalia I. Rodchenkova & Ekaterina K. Kostikova

### July 2018, Volume 2018

**1-4 Inversion Formula for a Radon-Type Transform Arising in Photoacoustic Tomography with Circular Integrating Detectors***by*Sunghwan Moon**1-4 Quantum Controlled Teleportation of Arbitrary Two-Qubit State via Entangled States***by*Lei Shi & Kaihang Zhou & Jiahua Wei & Yu Zhu & Qiuli Zhu**1-4 On a Simple Relation between Duffin-Kemmer-Petiau and Tzou Algebras***by*Andrzej Okniński**1-5 On the Convergence Ball and Error Analysis of the Modified Secant Method***by*Rongfei Lin & Qingbiao Wu & Minhong Chen & Xuemin Lei**1-6 Lump Solutions to a (2+1)-Dimensional Fifth-Order KdV-Like Equation***by*Sumayah Batwa & Wen-Xiu Ma**1-6 Conditional Lie-Bäcklund Symmetry Reductions and Exact Solutions of a Class of Reaction-Diffusion Equations***by*Xinyang Wang & Junquan Song**1-6 The Approximate Solution of 2D Dirichlet Problem in Doubly Connected Domains***by*Atallah El-shenawy & Elena A. Shirokova**1-7 The Perturbed Riemann Problem for the Aw-Rascle Model with Modified Chaplygin Gas Pressure***by*Yujin Liu & Wenhua Sun**1-7 A New Integrable Variable-Coefficient -Dimensional Long Wave-Short Wave Equation and the Generalized Dressing Method***by*Ting Su & Hui Hui Dai**1-8 The Application of Minimal Length in Klein-Gordon Equation with Hulthen Potential Using Asymptotic Iteration Method***by*Isnaini Lilis Elviyanti & Beta Nur Pratiwi & A. Suparmi & C. Cari**1-10 CIP Method of Characteristics for the Solution of Tide Wave Equations***by*Yafei Nie & Kai Fu & Xianqing Lv**1-10 Adaptive Finite-Time Mixed Interlayer Synchronization of Two-Layer Complex Networks with Time-Varying Coupling Delay***by*Xiaoyun Tang & Zhanying Yang & Jie Zhang**1-10 Minimization of Stress State of a Hub of Friction Pair***by*Vagif M. Mirsalimov & Parvana E. Akhundova**1-11 Strong Solutions for the Fluid-Particle Interaction Model with Non-Newtonian Potential***by*Yukun Song & Fengming Liu & Heyuan Wang**1-13 An Information Geometric Perspective on the Complexity of Macroscopic Predictions Arising from Incomplete Information***by*Sean Alan Ali & Carlo Cafaro & Steven Gassner & Adom Giffin**1-15 Simultaneous Determination of the Space-Dependent Source and the Initial Distribution in a Heat Equation by Regularizing Fourier Coefficients of the Given Measurements***by*Shufang Qiu & Wen Zhang & Jianmei Peng

### November 2017, Volume 2017

**1-5 Analytic Approximation of Solutions of Parabolic Partial Differential Equations with Variable Coefficients***by*Vladislav V. Kravchenko & Josafath A. Otero & Sergii M. Torba**1-6 Twisted Frobenius Identities from Vertex Operator Superalgebras***by*Alexander Zuevsky**1-7 -Nonlinear Stability of Nonlocalized Modulated Periodic Reaction-Diffusion Waves***by*Soyeun Jung**1-8 Model Equations for Three-Dimensional Nonlinear Water Waves under Tangential Electric Field***by*Bo Tao**1-9 The Propagation of Thermoelastic Waves in Anisotropic Media of Orthorhombic, Hexagonal, and Tetragonal Syngonies***by*Nurlybek A. Ispulov & Abdul Qadir & Marat Zhukenov & Erkin Arinov**1-9 An Unconventional Finite Difference Scheme for Modified Korteweg-de Vries Equation***by*Canan Koroglu & Ayhan Aydin**1-9 Nontrivial Solution for the Fractional -Laplacian Equations via Perturbation Methods***by*Huxiao Luo & Shengjun Li & Xianhua Tang**1-9 A Study on the Efficient Method for the Solution of the Saha Equation in the Numerical Simulation of Capillary Discharge***by*Hengzhu Liu & Cheng Wu & Fengjiang An & Shasha Liao**1-9 On Quantum Statistical Mechanics: A Study Guide***by*Wladyslaw Adam Majewski**1-10 Electromagnetic Waves Dispersion and Interaction of an Annular Beam-Ion Channel System in Plasma Waveguide***by*Jixiong Xiao & Zhijiang Wang & Jun Chen & Changhai Liu**1-11 PID Controller Singularly Perturbing Impulsive Differential Equations and Optimal Control Problem***by*Wichai Witayakiattilerd

### August 2017, Volume 2017

**1-7 Numerical Inversion for the Multiple Fractional Orders in the Multiterm TFDE***by*Chunlong Sun & Gongsheng Li & Xianzheng Jia**1-9 Hamilton-Poisson Realizations of the Integrable Deformations of the Rikitake System***by*Cristian Lăzureanu**1-9 Robust Output Synchronization of Arrays of Chaotic Sprott Circuits***by*Ernesto V. Gonzalez Solis & David I. Rosas Almeida**1-9 The Magic of Universal Quantum Computing with Permutations***by*Michel Planat & Rukhsan Ul Haq**1-9 Solutions of Navier-Stokes Equation with Coriolis Force***by*Sunggeun Lee & Shin-Kun Ryi & Hankwon Lim**1-10 On Concrete Spectral Properties of a Twisted Laplacian Associated with a Central Extension of the Real Heisenberg Group***by*Aymane El Fardi & Allal Ghanmi & Ahmed Intissar**1-11 An Iterative Method for Solving of Coupled Equations for Conductive-Radiative Heat Transfer in Dielectric Layers***by*Vasyl Chekurin & Yurij Boychuk**1-12 The Perturbed Riemann Problem for Special Keyfitz-Kranzer System with Three Piecewise Constant States***by*Yuhao Jiang & Chun Shen**1-14 Niemeier Lattices in the Free Fermionic Heterotic–String Formulation***by*Panos Athanasopoulos & Alon E. Faraggi**1-40 Geometrical/Physical Interpretation of the Conserved Quantities Corresponding to Noether Symmetries of Plane Symmetric Space-Times***by*Bismah Jamil & Tooba Feroze & Andrés Vargas

### February 2017, Volume 2017

**1-5 Quasi-Exact Coulomb Dynamics of Charges of Which Are Equal***by*Wolodymyr Skrypnik**1-6 A New Analysis Method for Chemotaxis-Induced Instability in Multispecies Host-Parasitoid Systems***by*Huaihuo Cao**1-6 Hyers-Ulam Stability and Existence of Solutions for Nigmatullin’s Fractional Diffusion Equation***by*Zhuoyan Gao & JinRong Wang**1-7 Dirichlet Forms Constructed from Annihilation Operators on Bernoulli Functionals***by*Caishi Wang & Beiping Wang**1-8 Third-Order Approximate Solution of Chemical Reaction-Diffusion Brusselator System Using Optimal Homotopy Asymptotic Method***by*Salem Alkhalaf**1-9 Third-Order Conditional Lie–Bäcklund Symmetries of Nonlinear Reaction-Diffusion Equations***by*Keqin Su & Jie Cao**1-9 The Cauchy Problem for Space-Time Monopole Equations in Temporal and Spatial Gauge***by*Hyungjin Huh & Jihyun Yim**1-9 A Non-Convex Partition of Unity and Stress Analysis of a Cracked Elastic Medium***by*Won-Tak Hong**1-9 Turing Bifurcation and Pattern Formation of Stochastic Reaction-Diffusion System***by*Qianiqian Zheng & Zhijie Wang & Jianwei Shen & Hussain Muhammad Ather Iqbal**1-10 Unsteady Helical Flows of a Size-Dependent Couple-Stress Fluid***by*Qammar Rubbab & Itrat Abbas Mirza & Imran Siddique & Saadia Irshad**1-11 The General Solution of Differential Equations with Caputo-Hadamard Fractional Derivatives and Noninstantaneous Impulses***by*Xianzhen Zhang & Zuohua Liu & Hui Peng & Xianmin Zhang & Shiyong Yang**1-14 Closed-Form Exact Solutions for the Unforced Quintic Nonlinear Oscillator***by*Augusto Beléndez & Enrique Arribas & Tarsicio Beléndez & Carolina Pascual & Encarnación Gimeno & Mariela L. Álvarez**1-15 Bernoulli Collocation Method for Solving Linear Multidimensional Diffusion and Wave Equations with Dirichlet Boundary Conditions***by*Bashar Zogheib & Emran Tohidi & Stanford Shateyi

### January 2017, Volume 2017

**1-5 Calculations on Lie Algebra of the Group of Affine Symplectomorphisms***by*Zuhier Altawallbeh**1-7 Stability Monitoring of Batch Processes with Iterative Learning Control***by*Yan Wang & Junwei Sun & Taishan Lou & Lexiang Wang**1-7 Analysis of Waterman’s Method in the Case of Layered Scatterers***by*Victor Farafonov & Vladimir Il’in & Vladimir Ustimov & Evgeny Volkov**1-8 The Analytical Form of the Dispersion Equation of Elastic Waves in Periodically Inhomogeneous Medium of Different Classes of Crystals***by*Nurlybek A. Ispulov & Abdul Qadir & Marat K. Zhukenov & Talgat S. Dossanov & Tanat G. Kissikov**1-9 Principal Component Analysis in the Nonlinear Dynamics of Beams: Purification of the Signal from Noise Induced by the Nonlinearity of Beam Vibrations***by*A. V. Krysko & Jan Awrejcewicz & Irina V. Papkova & Olga Szymanowska & V. A. Krysko**1-10 The Neumann Problem for a Degenerate Elliptic System Near Resonance***by*Yu-Cheng An & Hong-Min Suo**1-11 Some Discussions about the Error Functions on SO(3) and SE(3) for the Guidance of a UAV Using the Screw Algebra Theory***by*Yi Zhu & Xin Chen & Chuntao Li**1-11 Asymptotic Stability and Asymptotic Synchronization of Memristive Regulatory-Type Networks***by*Jin-E Zhang**1-11 On the Symmetries and Conservation Laws of the Multidimensional Nonlinear Damped Wave Equations***by*Usamah S. Al-Ali & Ashfaque H. Bokhari & A. H. Kara & F. D. Zaman**1-12 New Operational Matrix via Genocchi Polynomials for Solving Fredholm-Volterra Fractional Integro-Differential Equations***by*Jian Rong Loh & Chang Phang & Abdulnasir Isah**1-13 Dynamics of a Computer Virus Propagation Model with Delays and Graded Infection Rate***by*Zizhen Zhang & Limin Song**1-13 Symmetries and Properties of the Energy-Casimir Mapping in the Ball-Plate Problem***by*Cristian Lăzureanu & Tudor Bînzar

### September 2017, Volume 2017

**1-6 Lump Solutions and Resonance Stripe Solitons to the (2+1)-Dimensional Sawada-Kotera Equation***by*Xian Li & Yao Wang & Meidan Chen & Biao Li**1-7 Two Kinds of Classifications Based on Improved Gravitational Search Algorithm and Particle Swarm Optimization Algorithm***by*Hongping Hu & Xiaxia Cui & Yanping Bai**1-8 An Entropy for Groups of Intermediate Growth***by*Nikolaos Kalogeropoulos**1-8 A Fast Implicit Finite Difference Method for Fractional Advection-Dispersion Equations with Fractional Derivative Boundary Conditions***by*Taohua Liu & Muzhou Hou**1-14 Numerical Solutions of Coupled Systems of Fractional Order Partial Differential Equations***by*Yongjin Li & Kamal Shah**1-17 Numerical Solution of Time-Fractional Diffusion-Wave Equations via Chebyshev Wavelets Collocation Method***by*Fengying Zhou & Xiaoyong Xu

### April 2017, Volume 2017

**1-2 Recent Advances in Symmetry Analysis and Exact Solutions in Nonlinear Mathematical Physics***by*Maria Bruzón & Chaudry M. Khalique & Maria L. Gandarias & Rita Traciná & Mariano Torrisi**1-6 Robust Genetic Circuit Design: A Mixed and IQC Analysis***by*Ruijuan Chen & Wei Pan & Dongfei Fu & Xin He**1-7 Remarks on Pressure Blow-Up Criterion of the 3D Zero-Diffusion Boussinesq Equations in Margin Besov Spaces***by*Min Fu & Chao Cai**1-7 Modeling Anomalous Diffusion by a Subordinated Integrated Brownian Motion***by*Long Shi & Aiguo Xiao**1-8 The Spreading Residue Harmonic Balance Method for Strongly Nonlinear Vibrations of a Restrained Cantilever Beam***by*Y. H. Qian & J. L. Pan & S. P. Chen & M. H. Yao**1-10 Computation of the Stability and Complexity about Triopoly Price Game Model with Delay Decision***by*Yuling Wang & Shubing Guo & Shide Duan**1-13 Robustness of Supercavitating Vehicles Based on Multistability Analysis***by*Yipin Lv & Tianhong Xiong & Wenjun Yi & Jun Guan**1-26 Color Confinement and Spatial Dimensions in the Complex-Sedenion Space***by*Zi-Hua Weng

### March 2017, Volume 2017

**1-6 Traveling Wave Solutions of Space-Time Fractional Generalized Fifth-Order KdV Equation***by*Dianchen Lu & Chen Yue & Muhammad Arshad**1-7 The Convergence Ball and Error Analysis of the Relaxed Secant Method***by*Rongfei Lin & Qingbiao Wu & Minhong Chen & Lu Liu**1-7 Existence and Uniqueness of Periodic Solutions for a Kind of Second-Order Neutral Functional Differential Equation with Delays***by*Na Wang**1-8 Adaptive Modified Function Projective Lag Synchronization of Memristor-Based Five-Order Chaotic Circuit Systems***by*Qiaoping Li & Sanyang Liu**1-9 The Study of Seismic Response on Accelerated Contained Fluid***by*Kamila Kotrasova & Eva Kormanikova**1-10 Numerical Simulations of the Square Lid Driven Cavity Flow of Bingham Fluids Using Nonconforming Finite Elements Coupled with a Direct Solver***by*R. Mahmood & N. Kousar & M. Yaqub & K. Jabeen**1-13 The Dynamical Behavior of a Rigid Body Relative Equilibrium Position***by*T. S. Amer**1-14 Application of Adjoint Data Assimilation Method to Atmospheric Aerosol Transport Problems***by*Minjie Xu & Kai Fu & Xianqing Lv**1-20 Fully Discrete Local Discontinuous Galerkin Approximation for Time-Space Fractional Subdiffusion/Superdiffusion Equations***by*Meilan Qiu & Liquan Mei & Dewang Li

### May 2017, Volume 2017

**1-7 The Adaptive-Clustering and Error-Correction Method for Forecasting Cyanobacteria Blooms in Lakes and Reservoirs***by*Xiao-zhe Bai & Hui-yan Zhang & Xiao-yi Wang & Li Wang & Ji-ping Xu & Jia-bin Yu**1-8 DC Glow Discharge in Axial Magnetic Field at Low Pressures***by*Shen Gao & Shixiu Chen & Zengchao Ji & Wei Tian & Jun Chen**1-9 On Certain Translation Invariant Properties of Interior Transmission Spectra and Their Doppler’s Effect***by*Lung-Hui Chen**1-11 Guaranteed Cost Finite-Time Control of Fractional-Order Positive Switched Systems***by*Leipo Liu & Xiangyang Cao & Zhumu Fu & Shuzhong Song**1-11 Error Estimates on Hybridizable Discontinuous Galerkin Methods for Parabolic Equations with Nonlinear Coefficients***by*Minam Moon & Hyung Kyu Jun & Tay Suh**1-13 Decay of the 3D Quasilinear Hyperbolic Equations with Nonlinear Damping***by*Hongjun Qiu & Yinghui Zhang

### October 2017, Volume 2017

**1-6 Improved Finite Time in Eliminating Disagreement of Opinion Dynamics via Noise***by*Yong Ding & Lipo Mo**1-6 The Evolutionary Properties on Solitary Solutions of Nonlinear Evolution Equations***by*Wenxia Chen & Danping Ding & Xiaoyan Deng & Gang Xu**1-6 The Asymptotic Behaviours of a Class of Neutral Delay Fractional-Order Pantograph Differential Equations***by*Baojun Miao & Xuechen Li**1-7 Numerical Simulation to Air Pollution Emission Control near an Industrial Zone***by*Pravitra Oyjinda & Nopparat Pochai**1-8 Analytic Calculation of Transmission Field in Homogeneously Layered Mediums Excited by EMP***by*Dong-yang Sun & Wei-min Bao & Xiao-ping Li**1-10 Basic Generic Properties of Regular Rotating Black Holes and Solitons***by*Irina Dymnikova & Evgeny Galaktionov**1-10 A Statistical Damage Constitutive Model for Geomaterials under Plane-Strain Biaxial Stress State***by*Hongwei Zhang & Zhijun Wan & Chaoyi Wang & Zhaoyang Ma & Yuan Zhang & Jingyi Cheng**1-11 Contrast Expansion Method for Elastic Incompressible Fibrous Composites***by*Piotr Drygaś & Vladimir Mityushev**1-14 The Factorization for a Class of Hom-Coalgebras***by*Lihong Dong & Shuan Xue & Xiaohui Zhang**1-15 An Approach to Classical Quantum Field Theory Based on the Geometry of Locally Conformally Flat Space-Time***by*John Mashford**1-16 Singular Solutions to a (3 + 1)-D Protter-Morawetz Problem for Keldysh-Type Equations***by*Nedyu Popivanov & Tsvetan Hristov & Aleksey Nikolov & Manfred Schneider**1-49 Recent Progress on the Description of Relativistic Spin: Vector Model of Spinning Particle and Rotating Body with Gravimagnetic Moment in General Relativity***by*Alexei A. Deriglazov & Walberto Guzmán Ramírez

### December 2017, Volume 2017

**1-2 Qualitative and Quantitative Techniques for Differential Equations Arising in Mathematical Physics***by*Rehana Naz & Mariano Torrisi & Igor Leite Freire & Imran Naeem**1-6 On Flows of Bingham-Type Fluids with Threshold Slippage***by*Evgenii S. Baranovskii**1-7 Rota-Baxter Operators on 3-Dimensional Lie Algebras and the Classical -Matrices***by*Linli Wu & Mengping Wang & Yongsheng Cheng**1-7 Stochastic Volatility Effects on Correlated Log-Normal Random Variables***by*Yong-Ki Ma**1-7 Optimal Stochastic Control Problem for General Linear Dynamical Systems in Neuroscience***by*Yan Chen & Yingchun Deng & Shengjie Yue & Chao Deng**1-9 Nonlinear Hydroelastic Waves Generated due to a Floating Elastic Plate in a Current***by*Ping Wang & Yongyan Wang & Chuanqi Su & Yanzhao Yang**1-9 Exact Solutions for the Wick-Type Stochastic Schamel-Korteweg-de Vries Equation***by*Xueqin Wang & Yadong Shang & Huahui Di**1-9 Twistor Parametrization of Locally BPS Super-Wilson Loops***by*Cristian Vergu**1-12 On the Existence of Solutions for Impulsive Fractional Differential Equations***by*Yongliang Guan & Zengqin Zhao & Xiuli Lin**1-15 Completeness and Nonclassicality of Coherent States for Generalized Oscillator Algebras***by*Kevin Zelaya & Oscar Rosas-Ortiz & Zurika Blanco-Garcia & Sara Cruz y Cruz**1-18 Global Well-Posedness for a Class of Kirchhoff-Type Wave System***by*Xiaoli Jiang & Xiaofeng Wang

### June 2017, Volume 2017

**1-3 Theoretical and Computational Advances in Nonlinear Dynamical Systems***by*Zhi-Yuan Sun & Panayotis G. Kevrekidis & Xin Yu & K. Nakkeeran**1-5 Quantum Cosmology of Quadratic Theories with a FRW Metric***by*V. Vázquez-Báez & C. Ramírez**1-6 Conditional Well-Posedness for an Inverse Source Problem in the Diffusion Equation Using the Variational Adjoint Method***by*Chunlong Sun & Qian Liu & Gongsheng Li**1-8 Conversion of Monte Carlo Steps to Real Time for Grain Growth Simulation***by*N. Maazi**1-8 Binormal Motion of Curves with Constant Torsion in 3-Spaces***by*Josu Arroyo & Óscar J. Garay & Álvaro Pámpano**1-9 Bi-Integrable and Tri-Integrable Couplings of a Soliton Hierarchy Associated with***by*Jian Zhang & Chiping Zhang & Yunan Cui**1-11 Izergin-Korepin Analysis on the Projected Wavefunctions of the Generalized Free-Fermion Model***by*Kohei Motegi**1-20 Heat Transfer in a Porous Radial Fin: Analysis of Numerically Obtained Solutions***by*R. Jooma & C. Harley**1-20 Nonlinear Elliptic Boundary Value Problems at Resonance with Nonlinear Wentzell Boundary Conditions***by*Ciprian G. Gal & Mahamadi Warma

### July 2017, Volume 2017

**1-5 Exact Partition Function for the Random Walk of an Electrostatic Field***by*Gabriel González**1-7 Anomalous Diffusion with an Irreversible Linear Reaction and Sorption-Desorption Process***by*Maike A. F. dos Santos & Marcelo K. Lenzi & Ervin K. Lenzi**1-8 Intrinsic Optimal Control for Mechanical Systems on Lie Group***by*Chao Liu & Shengjing Tang & Jie Guo**1-8 An Accelerated Homotopy Perturbation Method for Solving Nonlinear Two-Dimensional Volterra-Fredholm Integrodifferential Equations***by*F. A. Hendi & M. M. Al-Qarni**1-9 Quasi-Particles, Thermodynamic Consistency, and the Gap Equation***by*Enore Guadagnini**1-9 Singular Limit of the Rotational Compressible Magnetohydrodynamic Flows***by*Young-Sam Kwon