A. Ponmana Selvan

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All published works
Action Title Year Authors
+ Aboodh Transform and Ulam Stability of Second-Order Linear Differential Equations 2024 R. Murali
A. Ponmana Selvan
Sanmugam Baskaran
Choonkil Park
Michael Th. Rassias
+ Stability and Instability of an Apollonius-Type Functional Equation 2024 A. Ponmana Selvan
Won-Gil Park
Jaiok Roh
+ PDF Chat Mohand transforms and its application to stability of differential equation 2024 S. Baskaran
R. Murali
A. Ponmana Selvan
+ Mittag-Leffler-Hyers-Ulam stability for a first- and second-order nonlinear differential equations using Fourier transform 2024 Arunachalam Selvam
S. Sabarinathan
A. Ponmana Selvan
+ Sumudu transform and the stability of second order linear differential equations 2024 Sanmugam Baskaran
R. Murali
Choonkil Park
A. Ponmana Selvan
+ PDF Chat Fixed point approach to the stability of a cubic and quartic mixed type functional equation in non-archimedean spaces 2023 P. Elumalai
S. Sangeetha
A. Ponmana Selvan
+ PDF Chat Hyers-Ulam-Gavruta stability of a Jensen's type quadratic-quadratic mapping in 2-Banach spaces 2023 S. Murugesan
A. Ponmana Selvan
G. Gandhi
V. Mani
Srimeenakshi Srinivasan
+ Ulam Type Stabilities of n-th Order Linear Differential Equations Using Gronwall’s Inequality 2023 A. Ponmana Selvan
Masakazu Onitsuka
+ PDF Chat Generalized Hyers-Ulam stability of a bi-quadratic mapping in non-Archimedean spaces 2023 Ramakrishnan Kalaichelvan
Uma Jayaraman
A. Ponmana Selvan
+ Stabilities of some Fredholm integral equations 2023 A. M. SimÔes
A. Ponmana Selvan
+ PDF Chat Stability of linear differential equation of higher order using Mahgoub transforms 2022 R. Murali
A. Ponmana Selvan
S. Baskaran
+ PDF Chat Approximate solution of the special type differential equation of higher order using Taylor's series 2022 A. Ponmana Selvan
S. Sabarinathan
A. George Maria Selvam
+ PDF Chat Hyers–Ulam stability and hyperstability of a Jensen-type functional equation on 2-Banach spaces 2022 A. Ponmana Selvan
Abbas Najati
+ ON THE STABILITY OF BESSEL DIFFERENTIAL EQUATION 2022 ‎Soon-Mo Jung
A. M. SimÔes
A. Ponmana Selvan
Jaiok Roh
+ PDF Chat Application of Mahgoub Integral Transform to Bessel’s Differential Equations 2021 S. Sabarinathan
D. Muralidharan
A. Ponmana Selvan
+ PDF Chat Hyers–Ulam stability of first-order linear differential equations using Aboodh transform 2021 R. Murali
A. Ponmana Selvan
Sanmugam Baskaran
Choonkil Park
Jung Rye Lee
+ PDF Chat Aboodh transform and the stability of second order linear differential equations 2021 R. Murali
A. Ponmana Selvan
Choonkil Park
Jung Rye Lee
+ PDF Chat Mahgoub transform and Hyers-Ulam stability of first-order linear differential equations 2021 ‎Soon-Mo Jung
A. Ponmana Selvan
R. Murali
+ Hyers-Ulam stability of a certain Fredholm integral equation 2021 Alberto Ões
A. Ponmana Selvan
+ HYERS-ULAM STABILITY FOR AN <i>N<sup>TH</sup></i> ORDER DIFFERENTIAL EQUATION USING FIXED POINT APPROACH 2020 R. Murali
Choonkil Park
A. Ponmana Selvan
+ PDF Chat Hyers-Ulam Stability of a Free and Forced Vibrations 2020 R. Murali
A. Ponmana Selvan
+ Ulam stability of linear differential equations using Fourier transform 2019 R. Murali
A. Ponmana Selvan
Choonkil Park
+ PDF Chat Hyers-Ulam stability of n Í­ ÍȘ order linear differential equation 2019 R. Murali
A. Ponmana Selvan
+ Stability for the Third Order Linear Ordinary Differential Equation 2019 R. Murali
Abasalt Bodaghi
A. Ponmana Selvan
+ Fourier Transforms and Ulam Stabilities of Linear Differential Equations 2019 R. Murali
A. Ponmana Selvan
+ Ulam stability of a differential equation of second order: A fixed point approach 2018 R. Murali
A. Ponmana Selvan
+ Hyers-Ulam Stability of Third Order Linear Differential Equation 2018 R. Murali
A. Ponmana Selvan
+ HYERS-ULAM STABILITY OF LINEAR DIFFERENCE EQUATION OF SECOND ORDER 2018 R. Murali
A. Ponmana Selvan
Dimple Rani
+ Hyers-Ulam Stability of Linear Differential Equations 2018 R. Murali
A. Ponmana Selvan
+ PDF Chat Hyers-Ulam-Rassias stability for the linear ordinary differential equation of third order 2018 R. Murali
A. Ponmana Selvan
+ ULAM STABILITY OF A PARTICULAR FREDHOLM INTEGRAL EQUATION WITH SINE AND COSINE FUNCTIONS 2017 R. Murali
E. Thandapani
A. Ponmana Selvan
Alexandre Henry
+ General Solution and Stability of a Quartic Functional Equation 2015 A. Ponmana Selvan
J. Kappiyagi Edwin
Subrata Bal
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ PDF Chat On the Stability of the Linear Functional Equation 1941 D. H. Hyers
25
+ PDF Chat On the Stability of the linear Transformation in Banach Spaces. 1950 Tosio Aoki
22
+ PDF Chat Classes of transformations and bordering transformations 1951 D. G. Bourgin
17
+ On some inequalities and stability results related to the exponential function 1998 Claudi Alsina
Roman Ger
17
+ PDF Chat On the stability of the linear mapping in Banach spaces 1978 Themistocles M. Rassias
17
+ PDF Chat ON THE HYERS-ULAM STABILITY OF THE BANACH SPACE-VALUED DIFFERENTIAL EQUATION y'=λy 2002 Sin‐Ei Takahasi
Takeshi Miura
Shizuo Miyajima
13
+ Hyers–Ulam stability of linear differential equations of first order, II 2005 ‎Soon-Mo Jung
12
+ Hyers–Ulam stability of linear differential equations of first order, III 2005 ‎Soon-Mo Jung
10
+ PDF Chat Hyers--Ulam stability of nth order linear differential equations 2016 Tongxing Li
Akbar Zada
Shah Faisal
10
+ Hyers-Ulam stability of linear differential equations of first order 2004 ‎Soon-Mo Jung
10
+ Hyers–Ulam stability of a system of first order linear differential equations with constant coefficients 2005 ‎Soon-Mo Jung
10
+ Hyers–Ulam stability of linear differential equations of first order 2007 Guangwa Wang
Mingru Zhou
Li Sun
10
+ PDF Chat Hyers-Ulam-Rassias stability for the linear ordinary differential equation of third order 2018 R. Murali
A. Ponmana Selvan
10
+ Hyers–Ulam stability of linear differential equations of second order 2009 Yongjin Li
Yan Shen
10
+ On approximation of approximately linear mappings by linear mappings 1982 John Michael Rassias
8
+ Ulam stabilities of ordinary differential equations in a Banach space 2010 Ioan A. Rus
8
+ Best constant in Hyers–Ulam stability of first-order homogeneous linear differential equations with a periodic coefficient 2019 Ryuma Fukutaka
Masakazu Onitsuka
8
+ Ulam stability of linear differential equations using Fourier transform 2019 R. Murali
A. Ponmana Selvan
Choonkil Park
8
+ Fourier Transforms and Ulam Stabilities of Linear Differential Equations 2019 R. Murali
A. Ponmana Selvan
8
+ None 2000 Themistocles M. Rassias
7
+ Hyers–Ulam stability of associated Laguerre differential equations in a subclass of analytic functions 2016 Mohammad Reza Abdollahpour
R. Aghayari
Michael Th. Rassias
7
+ PDF Chat Hyers-Ulam Stability of a Free and Forced Vibrations 2020 R. Murali
A. Ponmana Selvan
7
+ PDF Chat On stability of additive mappings 1991 Zbigniew Gajda
7
+ PDF Chat ON HYERS-ULAM STABILITY OF NONLINEAR DIFFERENTIAL EQUATIONS 2015 Jinghao Huang
‎Soon-Mo Jung
Yongjin Li
7
+ PDF Chat On the Stability of the Linear Mapping in Banach Spaces 1978 Themistocles M. Rassias
6
+ PDF Chat Mahgoub transform and Hyers-Ulam stability of first-order linear differential equations 2021 ‎Soon-Mo Jung
A. Ponmana Selvan
R. Murali
6
+ A Generalization of the Hyers-Ulam-Rassias Stability of Approximately Additive Mappings 1994 P. Găvruƣa
6
+ PDF Chat On Some Recent Developments in Ulamâ€Čs Type Stability 2012 Nicole BrillouĂ«t-Belluot
Janusz Brzdęk
Krzysztof CiepliƄski
6
+ Functional Equations and Inequalities with Applications 2009 Palaniappan Kannappan
5
+ Hyers-Ulam-Rassias Stability of Functional Equations in Nonlinear Analysis 2011 ‎Soon-Mo Jung
5
+ Hyers–Ulam stability of first order linear differential equations of CarathĂ©odory type and its application 2018 Masakazu Onitsuka
5
+ PDF Chat The general solution and stability of nonadecic functional equation in matrix normed spaces 2017 R. Murali
Matina J. Rassias
V. Vithya
5
+ Hyers–Ulam stability of first-order homogeneous linear differential equations with a real-valued coefficient 2016 Masakazu Onitsuka
Tomohiro Shoji
5
+ PDF Chat Hyers–Ulam stability and hyperstability of a Jensen-type functional equation on 2-Banach spaces 2022 A. Ponmana Selvan
Abbas Najati
5
+ PDF Chat On Ulam stability 2012 M. Burger
Narutaka Ozawa
Andreas Thom
5
+ PDF Chat HYERS-ULAM-RASSIAS STABILITY OF THE BANACH SPACE VALUED LINEAR DIFFERENTIAL EQUATIONS yâ€Č = λy 2004 Takeshi Miura
‎Soon-Mo Jung
Sin–Ei Takahasi
5
+ On a Problem of G. Isac and Th. M. Rassias Concerning the Stability of Mappings 2001 P. Găvruƣa
5
+ PDF Chat Aboodh transform and the stability of second order linear differential equations 2021 R. Murali
A. Ponmana Selvan
Choonkil Park
Jung Rye Lee
5
+ Stability of a functional equation deriving from quadratic and additive functions in quasi-Banach spaces 2007 Abbas Najati
M. B. Moghimi
4
+ Uniqueness theorems on functional inequalities concerning cubic-quadratic-additive equation 2018 Yang-Hi Lee
‎Soon-Mo Jung
Michael Th. Rassias
4
+ PDF Chat On superstability of exponential functional equations 2021 Batool Noori
M. B. Moghimi
Abbas Najati
Choonkil Park
Jung Rye Lee
4
+ PDF Chat Ulam-Hyers stability of undecic functional equation in quasi-$\beta$-normed spaces: Fixed point method 2016 K. Ravi
John Michael Rassias
B. V. Senthil Kumar
4
+ PDF Chat Hyers-Ulam stability of n Í­ ÍȘ order linear differential equation 2019 R. Murali
A. Ponmana Selvan
4
+ On some functional equations and their stability 2020 Abbas Najati
Prasanna K. Sahoo
4
+ Laplace transform and Hyers–Ulam stability of linear differential equations 2013 Hamid Rezaei
‎Soon-Mo Jung
Themistocles M. Rassias
3
+ PDF Chat A characterization of Hyers–Ulam stability of first order linear differential operators 2003 Takeshi Miura
Shizuo Miyajima
Sin–Ei Takahasi
3
+ On a functional equation of trigonometric type 2014 ‎Soon-Mo Jung
Michael Th. Rassias
Cristinel Mortici
3
+ Hyers–Ulam stability of hypergeometric differential equations 2018 Mohammad Reza Abdollahpour
Michael Th. Rassias
3
+ On the stability of multi-Jensen mappings in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>ÎČ</mml:mi></mml:math>-normed spaces 2012 Tian Zhou Xu
3
+ Approximate additive mappings in 2-Banach spaces and related topics 2010 Won-Gil Park
3