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Hyers-Ulam-Rassias Stability of Functional Equations in Nonlinear Analysis

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  • Soon-Mo Jung

    (Hongik University)

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Suggested Citation

  • Soon-Mo Jung, 2011. "Hyers-Ulam-Rassias Stability of Functional Equations in Nonlinear Analysis," Springer Optimization and Its Applications, Springer, number 978-1-4419-9637-4, September.
  • Handle: RePEc:spr:spopap:978-1-4419-9637-4
    DOI: 10.1007/978-1-4419-9637-4
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    Cited by:

    1. Soon-Mo Jung & Ki-Suk Lee & Michael Th. Rassias & Sung-Mo Yang, 2020. "Approximation Properties of Solutions of a Mean Value-Type Functional Inequality, II," Mathematics, MDPI, vol. 8(8), pages 1-8, August.
    2. Jagan Mohan Jonnalagadda, 2016. "Hyers-Ulam Stability of Fractional Nabla Difference Equations," International Journal of Analysis, Hindawi, vol. 2016, pages 1-5, September.
    3. Chinnaappu Muthamilarasi & Shyam Sundar Santra & Ganapathy Balasubramanian & Vediyappan Govindan & Rami Ahmad El-Nabulsi & Khaled Mohamed Khedher, 2021. "The Stability Analysis of A-Quartic Functional Equation," Mathematics, MDPI, vol. 9(22), pages 1-16, November.
    4. Naveed Ahmad & Zeeshan Ali & Kamal Shah & Akbar Zada & Ghaus ur Rahman, 2018. "Analysis of Implicit Type Nonlinear Dynamical Problem of Impulsive Fractional Differential Equations," Complexity, Hindawi, vol. 2018, pages 1-15, February.
    5. Zahra Eidinejad & Reza Saadati & Radko Mesiar, 2022. "Optimum Approximation for ς –Lie Homomorphisms and Jordan ς –Lie Homomorphisms in ς –Lie Algebras by Aggregation Control Functions," Mathematics, MDPI, vol. 10(10), pages 1-17, May.
    6. Abdellatif Benchaib & Abdelkrim Salim & Saïd Abbas & Mouffak Benchohra, 2023. "New Stability Results for Abstract Fractional Differential Equations with Delay and Non-Instantaneous Impulses," Mathematics, MDPI, vol. 11(16), pages 1-19, August.
    7. Ginkyu Choi & Soon-Mo Jung, 2019. "A Dilation Invariance Method and the Stability of Inhomogeneous Wave Equations," Mathematics, MDPI, vol. 7(1), pages 1-17, January.
    8. Zhenyu Bai & Chuanzhi Bai, 2024. "Hyers–Ulam Stability of Caputo Fractional Stochastic Delay Differential Systems with Poisson Jumps," Mathematics, MDPI, vol. 12(6), pages 1-14, March.
    9. Soon-Mo Jung & Ji-Hye Kim, 2018. "Hyers-Ulam Stability of Lagrange’s Mean Value Points in Two Variables," Mathematics, MDPI, vol. 6(11), pages 1-8, October.
    10. Soon-Mo Jung & Yang-Hi Lee, 2017. "A Fixed Point Approach to the Stability of a Mean Value Type Functional Equation," Mathematics, MDPI, vol. 5(4), pages 1-9, December.
    11. El-sayed El-hady & Janusz Brzdęk, 2022. "Banach Limit and Ulam Stability of Nonhomogeneous Cauchy Equation," Mathematics, MDPI, vol. 10(10), pages 1-15, May.
    12. Ginkyu Choi & Soon-Mo Jung & Jaiok Roh, 2019. "Some Properties of Approximate Solutions of Linear Differential Equations," Mathematics, MDPI, vol. 7(9), pages 1-11, September.
    13. Ginkyu Choi & Soon-Mo Jung, 2020. "The Approximation Property of a One-Dimensional, Time Independent Schrödinger Equation with a Hyperbolic Potential Well," Mathematics, MDPI, vol. 8(8), pages 1-8, August.

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