Ponmana Selvan Arumugam
@rajalakshmi.org
Assistant Professor (SG), Department of Mathematics
Rajalakshmi Engineering College, Thandalam
RESEARCH, TEACHING, or OTHER INTERESTS
Mathematics, Analysis, Computational Mathematics, Applied Mathematics
Scopus Publications
Scholar Citations
Scholar h-index
Scholar i10-index
Scopus Publications
A. Ponmana Selvan and M. Onitsuka
Springer Science and Business Media LLC
A. M. Simões and A. P. Selvan
AIP Publishing
R. Kalaichelvan, U. Jayaraman, and P. S. Arumugam
International Scientific Research Publications MY SDN. BHD.
R. Murali, A. Ponmana Selvan, and S. Baskaran
International Scientific Research Publications MY SDN. BHD.
In this paper, by applying Mahgoub transform, we show that the n th order linear differential equation
Soon-Mo Jung, , A. M. Simões, A. Ponmana Selvan, Jaiok Roh, , , , and
Wilmington Scientific Publisher, LLC
A. P. Selvan, S. Sabarinathan, and A. Selvam
International Scientific Research Publications MY SDN. BHD.
We study the approximate solution of the special type n th order linear differential equation by applying initial and boundary conditions using Taylor’s series formula. That is, we prove the sufficient condition for the Mittag-Leffler-Hyers-Ulam stability and Mittag-Leffler-Hyers-Ulam-Rassias stability of the special type linear differential equation of higher order with initial and boundary conditions using Taylor’s series formula.
Arumugam Ponmana Selvan and Abbas Najati
Springer Science and Business Media LLC
AbstractThe main aim of this paper is to establish the Hyers–Ulam stability and hyperstability of a Jensen-type quadratic mapping in 2-Banach spaces. That is, we prove the various types of Hyers–Ulam stability and hyperstability of the Jensen-type quadratic functional equation of the form $$ g \\biggl( \\frac{x+y}{2} + z \\biggr) + g \\biggl( \\frac{x+y}{2} - z \\biggr) + g \\biggl( \\frac{x-y}{2} + z \\biggr) + g \\biggl( \\frac{x-y}{2} - z \\biggr) = g(x) + g(y) + 4 g(z), $$ g ( x + y 2 + z ) + g ( x + y 2 − z ) + g ( x − y 2 + z ) + g ( x − y 2 − z ) = g ( x ) + g ( y ) + 4 g ( z ) , in 2-Banach spaces by using the Hyers direct method.
A. Simões and Ponmana Selvan
The Scientific and Technological Research Council of Turkey (TUBITAK-ULAKBIM) - DIGITAL COMMONS JOURNALS
Alberto SIMÕES1,2∗, Ponmana SELVAN CMA-UBI – Center of Mathematics and Applications, Department of Mathematics, University of Beira Interior, Covilhã, Portugal, CIDMA – Center for Research and Development in Mathematics and Applications, Department of Mathematics, University of Aveiro, Aveiro, Portugal, ORCID iD: https://orcid.org/0000-0002-4772-4300 Department of Mathematics, Sri Sai Ram Institute of Technology, Tamil Nadu, Chennai, India, https://orcid.org/0000-0002-6594-4913
Ramdoss Murali, Arumugam Ponmana Selvan, Choonkil Park, and Jung Rye Lee
Springer Science and Business Media LLC
AbstractIn this paper, we introduce a new integral transform, namely Aboodh transform, and we apply the transform to investigate the Hyers–Ulam stability, Hyers–Ulam–Rassias stability, Mittag-Leffler–Hyers–Ulam stability, and Mittag-Leffler–Hyers–Ulam–Rassias stability of second order linear differential equations.
Soon-Mo Jung, Ponmana Selvan Arumugam, and Murali Ramdoss
Element d.o.o.
The main aim of this paper is to investigate various types of Hyers-Ulam stability of linear differential equations of first order with constant coefficients using the Mahgoub transform method. We also show the Hyers-Ulam constants of these differential equations and give some examples to better illustrate the main results.
Ramdoss Murali, , Choonkil Park, Arumugam Ponmana Selvan, and
Wilmington Scientific Publisher, LLC
Ramdoss Murali, Arumugam Ponmana Selvan, Sanmugam Baskaran, Choonkil Park, and Jung Rye Lee
Springer Science and Business Media LLC
AbstractThe main aim of this paper is to investigate various types of Ulam stability and Mittag-Leffler stability of linear differential equations of first order with constant coefficients using the Aboodh transform method. We also obtain the Hyers–Ulam stability constants of these differential equations using the Aboodh transform and some examples to illustrate our main results are given.
Murali Ramdoss, , Ponmana Selvan-Arumugam, Choonkil Park, and
American Institute of Mathematical Sciences (AIMS)
The purpose of this paper is to study the Hyers-Ulam stability and generalized HyersUlam stability of general linear differential equations of nth order with constant coefficients by using the Fourier transform method. Moreover, the Hyers-Ulam stability constants are obtained for these differential equations.
Murali Ramdoss and Ponmana Selvan Arumugam
Springer International Publishing
R. Murali and A. Ponmana Selvan
Universidad Catolica del Norte - Chile
In this paper, we investigate the Hyers-Ulam stability and Hyers-Ulam-Rassias stability of the homogeneous linear differential equation of nth order with initial and boundary conditions by using Taylor’s Series formula.
R Murali and A Ponmana Selvan
IOP Publishing
In this paper, we study the Ulam-Hyers stability and Ulam-Hyers-Rassias stability of the differential equation of second order of the form u”(t) = h(t,u(t)) by using fixed point method.
R. Murali and A. Ponmana Selvan
Springer Singapore
R. Murali and Ponmana Selvan
University Library in Kragujevac
The Hyers-Ulam stability of the Ordinary Differential Equations has been investigated and the investigation is ongoing. In this paper, by applying initial condition, we investigate the approximate solutions of the homogeneous and non-homogeneous linear differential equation in the sense of Hyers-Ulam-Rassias.