Author

Arumugam Ponmana Selvan

Observed names: A Ponmana Selvan, A. P. Selvan, A. PONMANA SELVAN, A. Ponmana Selvan, A. Ponmana selvan, P Selvan, P. S. Arumugam, Ponmana Selvan, Ponmana Selvan Arumugam, Ponmana Selvan-Arumugam, SELVAN, PONMANA

Institution: Rajalakshmi Engineering College

Observed institutions: Sacred Heart College, Rajalakshmi Engineering College, Sacred Heart College (Autonomous)

ORCID: 0000-0002-6594-4913

Observed ORCID: 0000-0002-6594-4913

OpenAlex ID: A5021500381

Ulam stability of linear differential equations using Fourier transform

2019 · Murali Ramdoss, Ponmana Selvan-Arumugam, et al. · AIMS Mathematics · 29

Aboodh transform and the stability of second order linear differential equations

2021 · Ramdoss Murali, Arumugam Ponmana Selvan, et al. · Advances in Difference Equations · 21

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Hyers–Ulam stability and hyperstability of a Jensen-type functional equation on 2-Banach spaces

2022 · Arumugam Ponmana Selvan, Abbas Najati · Journal of Inequalities and Applications · 20

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Mahgoub transform and Hyers-Ulam stability of first-order linear differential equations

2021 · Soon-Mo Jung, Ponmana Selvan Arumugam, et al. · Journal of Mathematical Inequalities · 20

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Hyers-Ulam-Rassias stability for the linear ordinary differential equation of third order

2018 · R. Murali, Ponmana Selvan · Kragujevac Journal of Mathematics · 17

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Fourier Transforms and Ulam Stabilities of Linear Differential Equations

2019 · Murali Ramdoss, Ponmana Selvan Arumugam · Springer eBooks · 13

Hyers-Ulam Stability of Linear Differential Equations

2018 · R. Murali, A. Ponmana Selvan · Communications in computer and information science · 12

Hyers-Ulam stability of n th order linear differential equation

2019 · R. Murali, A. Ponmana Selvan · Proyecciones (Antofagasta) · 10

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Approximate solution of the special type differential equation of higher order using Taylor's series

2022 · A. P. Selvan, S. Sabarinathan, et al. · Journal of Mathematics and Computer Science · 9

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Hyers–Ulam stability of first-order linear differential equations using Aboodh transform

2021 · Ramdoss Murali, Arumugam Ponmana Selvan, et al. · Journal of Inequalities and Applications · 9

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Hyers-Ulam Stability of a Free and Forced Vibrations

2020 · R. MURALI, A. PONMANA SELVAN · Kragujevac Journal of Mathematics · 8

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Revelation for New User to Select Power System Simulation Software

· P Selvan, R Anita · RePEc: Research Papers in Economics · 7

Generalized Hyers-Ulam stability of a bi-quadratic mapping in non-Archimedean spaces

2023 · R. Kalaichelvan, U. Jayaraman, et al. · Journal of Mathematics and Computer Science · 6

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Hyers-ulam Stability for an Nth Order Differential Equation Using Fixed Point Approach

2020 · Ramdoss Murali, Choonkil Park, et al. · Journal of Applied Analysis & Computation · 6

Aboodh Transform and Ulam Stability of Second-Order Linear Differential Equations

2024 · Ramdoss Murali, Arumugam Ponmana Selvan, et al. · Series on computers and operations research · 4

Stability of linear differential equation of higher order using Mahgoub transforms

2022 · R. Murali, A. Ponmana Selvan, et al. · Journal of Mathematics and Computer Science · 4

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Hyers-Ulam stability of a certain Fredholm integral equation

2021 · SIMÕES, ALBERTO, SELVAN, PONMANA · TURKISH JOURNAL OF MATHEMATICS · 4

Stability for the Third Order Linear Ordinary Differential Equation

2019 · R. Murali, Abasalt Bodaghi, et al. · International journal of mathematics and computation · 4

Fixed point approach to the stability of a cubic and quartic mixed type functional equation in non-archimedean spaces

2023 · P. Elumalai, S. Sangeetha, et al. · Journal of Mathematics and Computer Science · 3

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Application of Mahgoub Integral Transform to Bessel’s Differential Equations

2021 · S. Sabarinathan, D. Muralidharan, et al. · Communications in Mathematics and Applications · 3

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On the Stability of Bessel Differential Equation

2022 · Soon-Mo Jung, A. M. Simões, et al. · Journal of Applied Analysis & Computation · 2

Basics of Electrical Engineering

2019 · G. Gunasekaran, A. Ponmana Selvan, et al. · LAP LAMBERT Academic Publishing eBooks · 2

Ulam stability of a differential equation of second order: A fixed point approach

2018 · R Murali, A Ponmana Selvan · Journal of Physics Conference Series · 2

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Hyers-ulam Stability of Linear Difference Equation of Second Order

2018 · R. Murali, A. Ponmana Selvan, et al. · Far East Journal of Mathematical Sciences (FJMS) · 2

Stability and Instability of an Apollonius-Type Functional Equation

2024 · Ponmana Selvan Arumugam, Won-Gil Park, et al. · Mathematics · 1

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Works count: 42

Citation count: 223

H-index: 9

I10-index: 8