Ponmana Selvan Arumugam

@rajalakshmi.org

Assistant Professor (SG), Department of Mathematics
Rajalakshmi Engineering College, Thandalam

Ponmana Selvan Arumugam


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https://researchid.co/selvaharry

RESEARCH, TEACHING, or OTHER INTERESTS

Mathematics, Analysis, Computational Mathematics, Applied Mathematics
35

Scopus Publications

517

Scholar Citations

15

Scholar h-index

16

Scholar i10-index

Scopus Publications

RECENT SCHOLAR PUBLICATIONS

  • Ulam stability of quadratic n-dimensional functional equations in non-Archimedean quasi- -normed spaces
    P Elumalai, S Sangeetha, S Donganont, C Park, AP Selvan
    The Journal of Analysis, 1-17 , 2026
    2026
  • GENERALIZED HYERS–ULAM STABILITY OF SECOND-ORDER LINEAR DIFFERENTIAL EQUATIONS USING LAPLACE TRANSFORM
    A Ponmana Selvan, M Onitsuka
    Rocky Mountain Journal of Mathematics 56 (1), 1-11 , 2026
    2026
  • Generalized Hyers–Ulam stability of mixed-type additive-quartic mappings in 2-Banach spaces
    A Ponmana Selvan, M Onitsuka, V Lakshmi
    Demonstratio Mathematica 59 (1), 20250237 , 2026
    2026
  • Hyers-Ulam (HU) Stability and Mittag-Leffler-HU Stability of Additive Brownian Motion (Louis Bachelier's Model)
    S Sankar, P Pushpa, A Ponmana Selvan
    EPJ Web of Conferences 363, 03002 , 2026
    2026
  • ULAM STABILITY OF LINEAR DIFFERENTIAL EQUATIONS OF HIGHER ORDER USING ABOODH TRANSFORM
    S Baskaran, R Murali, AP Selvan, M Donganont, C Park
    Nonlinear Functional Analysis and Applications, 465-475 , 2025
    2025
  • AN APPLICATION OF EL-ZAKI TRANSFORM TO VARIOUS TYPES OF ULAM STABILITY OF LINEAR DIFFERENTIAL EQUATIONS
    R Murali, AP Selvan, S Donganont, C Park
    Nonlinear Functional Analysis and Applications, 447-464 , 2025
    2025
    Citations: 1
  • SUMUDU TRANSFORM AND THE STABILITY OF SECOND ORDER LINEAR DIFFERENTIAL EQUATIONS
    S Baskaran, R Murali, C Park, AP Selvan
    Journal of Mathematical Inequalities 18 (3), 847-864 , 2024
    2024
    Citations: 4
  • Mittag-Leffler-Hyers-Ulam stability for a first-and second-order nonlinear differential equations using Fourier transform
    A Selvam, S Sabarinathan, AP Selvan
    Demonstratio Mathematica 57 (1), 20240033 , 2024
    2024
    Citations: 4
  • Stability and Instability of an Apollonius-Type Functional Equation
    PS Arumugam, WG Park, J Roh
    Mathematics 12 (14), 2274 , 2024
    2024
    Citations: 1
  • Mohand Transforms and its Application to Stability of Differential Equation
    Baskaran, Murali, PonmanaSelvan
    Journal of Mathematics and Computer science 35 (1), 25 – 34 , 2024
    2024
    Citations: 2
  • Mahgoub Transform and Ulam Stability of Logistic Growth Differential Equation
    A Mohanapriya, AP Selvan
    Journal of Computational Analysis and Applications 33 (8) , 2024
    2024
  • Aboodh Transform and Ulam Stability of Second-Order Linear Differential Equations
    R Murali, AP Selvan, S Baskaran, C Park, MT Rassias
    Mathematical Analysis, Differential Equations and Applications, 587-616 , 2024
    2024
    Citations: 4
  • Ulam Type Stabilities of n -th Order Linear Differential Equations Using Gronwall’s Inequality
    A Ponmana Selvan, M Onitsuka
    Results in Mathematics 78 (5), 198 , 2023
    2023
    Citations: 1
  • Stabilities of some Fredholm integral equations
    AM Simões, AP Selvan
    AIP Conference Proceedings 2849 (1), 380006 , 2023
    2023
  • Generalized Hyers-Ulam stability of a bi-quadratic mapping in non-Archimedean spaces
    R Kalaichelvana, U Jayaramana, PS Arumugamb
    J. Math. Comput. Sci. 31 (4), 393-402 , 2023
    2023
    Citations: 8
  • Laplace transform and Hyers-Ulam stability of differential equation for logistic growth in a population model
    PS Arumugam, G Gandhi, S Murugesan, V Ramachandran
    Communications of the Korean Mathematical Society 38 (4), 1163-1173 , 2023
    2023
    Citations: 3
  • Stability of linear differential equation of higher order using Mahgoub transforms
    R Murali, A Ponmana Selvan, S Baskaran
    2023
    Citations: 5
  • Generalized Hyers-Ulam stability of a bi-quadratic mapping in non-Archimedean spaces
    K Ramakrishnan, J Uma, A Ponmana Selvan
    2023
  • Hyers–Ulam stability and hyperstability of a Jensen-type functional equation on 2-Banach spaces
    AP Selvan, A Najati
    Journal of Inequalities and Applications 2022 (1), 32 , 2022
    2022
    Citations: 21
  • Mittag-Leffler-Hyers-Ulam Stability of a linear differential equations of second order using Laplace transform
    AP Selvan, R Veerasivaji, V Kamalakannan, M Saravanan
    J. Math. Comput. Sci. 12, Article ID 74 , 2022
    2022

MOST CITED SCHOLAR PUBLICATIONS

  • Ulam stability of linear differential equations using Fourier transform
    M Ramdoss, P Selvan-Arumugam, C Park
    AIMS MATHEMATICS 5 (2) , 2020
    2020
    Citations: 44
  • HYERS-ULAM-RASSIAS STABILITY FOR THE LINEAR ORDINARY DIFFERENTIAL EQUATION OF THIRD ORDER
    R Murali, A Ponmana Selvan
    Kragujevac Journal of Mathematics 42 (4), 579 - 590 , 2018
    2018
    Citations: 38
  • On the generalized Hyers-Ulam stability of linear ordinary differential equations of higher order
    R Murali, AP Selvan
    International Journal of Pure and Applied Mathematics 117 (12), 317-326 , 2017
    2017
    Citations: 35
  • On the Generlized Hyers-Ulam Stability of Linear Ordinary Differential Equations of Higher Order
    R Murali, A Ponmana Selvan
    International Journal of Pure and Applied Mathematics 117 (12), 317 - 326 , 2017
    2017
    Citations: 35
  • Aboodh transform and the stability of second order linear differential equations
    R Murali, AP Selvan, C Park, JR Lee
    Advances in Difference Equations 2021 (1), 296 , 2021
    2021
    Citations: 32
  • Mittag-Leffler-Hyers-Ulam Stability of Linear Differential Equations using Fourier Transforms
    JM Rassias, R Murali, AP Selvan
    Journal Computational Analysis and Applications 29 (1), 68-85 , 2021
    2021
    Citations: 32
  • Mittag-Leffler-Hyers-Ulam Stability of Linear Differential Equations using Fourier Transforms.
    JM Rassias, R Murali, AP Selvan
    Journal of Computational Analysis & Applications 29 (1) , 2021
    2021
    Citations: 32
  • MAHGOUB TRANSFORM AND HYERS–ULAM STABILITY OF FIRST–ORDER LINEAR DIFFERENTIAL EQUATIONS
    SMO JUNG, A PONMANA SELVAN, R MURALI
    Journal of Mathematical Inequalities 15 (3), 1201–1218 , 2021
    2021
    Citations: 27
  • Hyers-Ulam stability of n th order linear differential equation
    R Murali, AP Selvan
    Proyecciones (Antofagasta) 38 (3), 553-566 , 2019
    2019
    Citations: 27
  • Fourier Transforms and Ulam Stabilities of Linear Differential Equations
    R Murali, AP Selvan
    Frontiers in Functional Equations and Analytic Inequalities 2019, 195 -217 , 2019
    2019
    Citations: 22
  • Hyers–Ulam stability and hyperstability of a Jensen-type functional equation on 2-Banach spaces
    AP Selvan, A Najati
    Journal of Inequalities and Applications 2022 (1), 32 , 2022
    2022
    Citations: 21
  • Mittag-Leffler–Hyers–Ulam stability of a linear differential equations of first order using Laplace transforms
    R Murali, AP Selvan
    Canad. J. Appl. Math 2 (2), 47-59 , 2020
    2020
    Citations: 21
  • Hyers–Ulam stability for an nth order differential equation using fixed point approach
    R Murali, C Park, AP Selvan
    J. Appl. Anal. Comput 11 (2), 614-631 , 2021
    2021
    Citations: 19
  • HYERS - ULAM STABILITY OF nth ORDER LINEAR DIFFERENTIAL EQUATION WITH INITIAL AND BOUNDARY CONDITIONS
    K Ravi, R Murali, A Ponmana Selvan
    Asian Journal of Mathematics and Computer Research 11 (3), 201-207 , 2016
    2016
    Citations: 19
  • Hyers–Ulam stability of first-order linear differential equations using Aboodh transform
    R Murali, AP Selvan, S Baskaran, C Park, JR Lee
    Journal of Inequalities and Applications 2021 (1), 133 , 2021
    2021
    Citations: 18
  • Hyers-Ulam stability of a free and forced vibrations
    R Murali, AP Selvan
    Kragujevac Journal of Mathematics 44 (2), 299-312 , 2020
    2020
    Citations: 18
  • ULAM STABILITY OF A GENERAL nth ORDER LINEAR DIFFERENTIAL EQUATION WITH CONSTANT COEFFICIENTS
    K Ravi, R Murali, AP Selvan
    Asian Journal of Mathematics and Computer Research 11 (1), 61-68 , 2016
    2016
    Citations: 17
  • Hyers-Ulam stability of a certain Fredholm integral equation
    A Simões, P Selvan
    Turkish Journal of Mathematics 46 (1), 87-98 , 2022
    2022
    Citations: 12
  • Approximate solution of the special type differential equation of higher order using Taylor’s series
    AP Selvan, S Sabarinathan, A Selvam
    J. Math. Comput. Sci 27, 131-141 , 2022
    2022
    Citations: 9
  • Generalized Hyers-Ulam stability of a bi-quadratic mapping in non-Archimedean spaces
    R Kalaichelvana, U Jayaramana, PS Arumugamb
    J. Math. Comput. Sci. 31 (4), 393-402 , 2023
    2023
    Citations: 8