# Canadian Center of Science and Education

# Journal of Mathematics Research

Postal: CDM - CEMI, Odyssea, Station 5, CH - 1015 Lausanne

Phone: +41 21 693 0036

Fax: +41 21 693 0020

Web page: http://jmr.ccsenet.org

More information through EDIRC

Phone: +41 21 693 0036

Fax: +41 21 693 0020

Web page: http://jmr.ccsenet.org

More information through EDIRC

**For corrections or technical questions regarding this series, please contact (Canadian Center of Science and Education)**

**Series handle:**repec:ibn:jmrjnl

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### December 2017, Volume 9, Issue 6

**1-13 Stabilization of Variable Coefficients Euler-Bernoulli Beam with Viscous Damping under a Force Control in Rotation and Velocity Rotation***by*Bomisso G. Jean Marc & Tour¨¦ K. Augustin & Yoro Gozo**14-23 An Instability Phenomenon in Hele-Shaw Displacements***by*Gelu Pasa**24-54 Gray Code in the Solution of the Nine Rings Chinese Game***by*Erick Ceasar Huang & Sharon Sherry Huang & Cheng-Hua Tsai**55-66 Various Proofs of the Sylvester Criterion for Quadratic Forms***by*Giorgio Giorgi**67-81 Algebraic Properties of Toeplitz Operators on the Pluri-harmonic Fock Space***by*Dieudonne Agbor**82-94 Dialectical Logic K-Model: A Mathematical Model for Machine***by*Yaozhi Jiang**95-105 Strong Goldbach Number in Goldbach¡¯s Problem***by*Pingyuan Zhou**106-111 Estimation of Causal Functional Linear Regression Models***by*J.C.S. de Miranda**112-123 Directional Method of Fundamental Solutions for Three-dimensional Laplace Equation***by*Chein-Shan Liu & Zhuojia Fu & Chung-Lun Kuo**124-143 Optimal Control of Evolution Macro-Hybrid Mixed Variational Inclusions***by*Gonzalo Alduncin**144-147 On Elliptic Operator Theory***by*Abdalla, Salih Abdalla**148-155 The Global Stability of 2-D Subsonic Circulatory Flows for the Steady Isothermal Gas***by*Dacheng Cui

### October 2017, Volume 9, Issue 5

**1-17 A Study on the Minimum and Maximum Sum of C2 Problem in IMO2014***by*Erick Ceasar Huang & Sharon Sherry Huang & Cheng-Hua Tsai**18-29 New Model for Solving Mixed Integral Equation of the First Kind with Generalized Potential Kernel***by*Shareefa Eisa Ali Alhazmi**30-36 The Separable Complementation Property and Mr¨®wka Compacta***by*Jesus Ferrer**37-45 K-loop Structures Raised by the Direct Limits of Pseudo Unitary $U(p, a_{n})$ and Pseudo Orthogonal $O(p, a_{n})$ Groups***by*Alper Bulut**46-53 Existence of Solutions for Functional Integral Equation Involving the Henstock-Kurzweil-Stieltjes Integral***by*Hui Mei & Guoju Ye & Wei Liu & Yanrong Chen**54-60 Sign of Permutation Induced by Nagata Automorphism over Finite Fields***by*Keisuke Hakuta & Tsuyoshi Takagi**61-70 Some More New Properties of Consecutive Odd Numbers***by*Xingbo Wang**71-86 Angular Vectors in the Theory of Vectors***by*Yevhen Kharchenko**87-96 On the Interval Controllability of Fractional Systems with Control Delay***by*Jiang Wei**97-107 On S-quasi-Dedekind Modules***by*Abdoul Djibril Diallo & Papa Cheikhou Diop & Mamadou Barry**108-125 Tripled Coincidence Point Results for $(\psi,\varphi)$-weakly Contractive Mappings in Partially Ordered S-matric Spaces***by*Abdolsattar Gholidahneh, & Shaban Sedghi**126-132 Exact Solitary Wave Solutions for the Generalized Schamel Korteweg¨CDe Vries Equation***by*N. O. Al Atawi**133-141 L\'{e}vy Process, Proportional Transaction Costs and Foreign Exchange***by*Obonye Doctor & Elias R. Offen & Edward M. Lungu

### August 2017, Volume 9, Issue 4

**1-10 Solving Liouville-type Problems on Manifolds with Poincar\'{e}-Sobolev Inequality by Broadening $q$-Energy from Finite to Infinite***by*Lina Wu**11-22 Some Remarks on the Stability Condition of Numerical Scheme of the KdV-type Equation***by*Chun-Te Lee & Jeng-Eng Lin & Chun-Che Lee & Mei-Li Liu**23-29 Sign of Permutations Induced by Anick and Nagata-Anick Automorphisms over Finite Fields***by*Keisuke Hakuta**30-48 Dissipative Numerical Method for a Flexible Euler-Bernoulli Beam with a Force Control in Rotation and Velocity Rotation***by*Bomisso G. Jean Marc & Tour\'{e} K. Augustin & Yoro Gozo**49-68 The original problem that serves as a basis for this project comes from an American contest (PUMaC, 2014) regarding the maximum amount of enclosed spaces given a limited number of cuts on an infinite plane. In this study, we explore the same problem and extend it in the context of m dimensions given n (m-1) dimensional cuts using the recursive relationship of finite cuts and enclosed spaces in lower dimensions. Once the general formula of f(m,n)?was proven for dimensions, an Euler¡¯s inspired formula was used to check the accuracy of the formula in two and three dimensions. The Euler¡¯s formula also allowed us to derive the formula for the maximum number of unenclosed spaces in three-dimensional F(3, n). The results are as follows:***by*Erick C. Huang & Sharon S. Huang & Cheng-Hua Tsai**69-77 Cone Avoidance of Some Turing Degrees***by*Patrizio Cintioli**78-86 Modeling and Numerical Simulation of Sand Dunes Formation***by*HASSANE GANDA Rabi & HAMIDOU Haoua & SALEY Bisso**87-100 The Convergence of Calder¨®n Reproducing Formulae of Two Parameters in $L^p$, in $\mathscr S$ and in $\mathscr S'$***by*Jiang-Wei Huang & Kunchuan Wang**101-113 A Mathematical Model for the Vector Transmission and Control of Banana Xanthomonas Wilt***by*Kweyunga Eliab Horub & Tumwiine Julius**114-123 Analysis of Compression Ratio of Various Randomly Generated Images of Same Size***by*Tanvir Prince**124-134 On the Existence of Global Weak Solutions to 1D Pollutant Transport Model***by*Brahima ROAMBA & Jean de Dieu ZABSONRE & Yacouba ZONGO**135-144 Transmuted Mukherjee-Islam Distribution: A Generalization of Mukherjee-Islam Distribution***by*Loai M. A. Al-Zou'bi**145-167 The Global and Exponential Attractors for the Higher-order \\[6pt] Kirchhoff-type Equation with Strong Linear Damping***by*Guoguang Lin & Yunlong Gao**168-184 Minimum Principle-Type Necessary Optimality Conditions in Scalar and Vector Optimization. An Account***by*Giorgio Giorgi**185-195 Existence Conditions of Super-Replication Cost in a Multinomial Model***by*Mei Xing**196-199 On $FGDF$-modules***by*Alhousseynou BA & Sidy Demba Tour\'e & Oumar Diankha**200-208 The First Hochschild Cohomology of Square Algebras With it's Stability***by*Feysal Hassani & Negin Salehi Oroozaki**209-230 On Theory of logarithmic Poisson Cohomology***by*Joseph Dongho & Alphonse Mbah & Shuntah Roland Yotcha**231-248 Logarithmic Differential Operators and Prequantization of Logsymplectic Poisson Structure***by*Joseph Dongho

### June 2017, Volume 9, Issue 3

**1-7 Nonexistence of Nontrivial Stationary Solutions with Decay Order for Some Nonlinear Evolution Equations***by*Jeng-Eng Lin**8-13 Quadratic form Approach for the Number of Zeros of Homogeneous Linear Recurring Sequences over Finite Fields***by*Yasanthi Kottegoda**14-22 Convergence Analysis for Mixed Finite Element Method of Positive Semi-definite Problems***by*Yirang Yuan & Changfeng Li**23-29 An Addendum on Postoptimality of Maximally Reliable Path***by*Ahmad Hosseini & Bita Kabir Baiki**30-37 Modeling and Resolution of the Allocation Problem of the Time Slots in Dakar Airport***by*Youssouf Ahamada & Salimata G. Diagne & Amadou Coulibaly & D\'ethi\'e Dione & N'dogotar N閘io & Youssou Gningue**38-45 The [a,b]-domination and [a,b]-total Domination of Graphs***by*Xiujun Zhang & Zehui Shao & Hong Yang**46-67 Symmetric Boundary Condition for Laplacian on Net of Regular Hexagons***by*Daniel Lee**68-74 On the Existence of Poncelet-Morley Points in Euclidean Geometry***by*Joseph Dongho & Nguimbous F. L. & Teyou M. R.**75-79 A Note on the Structure of Roller Coaster Permutations***by*William Adamczak**80-94 Minimum Hellinger Distance Estimation of a Univariate GARCH Process***by*Roger Kadjo & Ouagnina Hili & Aubin N'dri**95-111 A Fuzzy-stochastic Approach for Binary Linear Programming under Uncertainties***by*Wei Peng & Rene V. Mayorga