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21 results on '"MURALI, RAMDOSS"'

1. Stability on Quinquevigintic Functional Equation in Different Spaces

Author

Murali, Ramdoss, Pinelas, Sandra, and Vithya, Veeramani

Subjects
Mathematics - Dynamical Systems
Abstract

In this work, we determine the general solution of the quinquevigintic functional equation and also investigate its stability of this equation in the setting of matrix normed spaces and the framework of matrix non-Archimedean fuzzy normed spaces by using the fixed point method.

Published
2022
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3. SUMUDU TRANSFORM AND THE STABILITY OF SECOND ORDER LINEAR DIFFERENTIAL EQUATIONS.

Author

BASKARAN, SANMUGAM, MURALI, RAMDOSS, CHOONKIL PARK, and SELVAN, ARUMUGAM PONMANA

Subjects
LINEAR differential equations, INTEGRAL transforms, STABILITY theory, HOMOMORPHISMS, FUNCTIONAL equations
Abstract

In this paper, we introduce a new integral transform, namely, Sumudu 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. [ABSTRACT FROM AUTHOR]

Published
2024
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4. Stability of a generalized n-variable mixed-type functional equation in fuzzy modular spaces

Author

Murali Ramdoss, Divyakumari Pachaiyappan, Choonkil Park, and Jung Rye Lee

Subjects
Hyers–Ulam stability, Additive and quadratic functional equation, Fuzzy modular space, Fixed point method, Mathematics, QA1-939
Abstract

Abstract This research paper deals with general solution and the Hyers–Ulam stability of a new generalized n-variable mixed type of additive and quadratic functional equations in fuzzy modular spaces by using the fixed point method.

Published
2021
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5. Stability of an n-variable mixed type functional equation in probabilistic modular spaces

Author

Murali Ramdoss, Divyakumari Pachaiyappan, Inho Hwang, and Choonkil Park

Subjects
ulam stability, functional equation, probabilistic modular space, fixed point method, Mathematics, QA1-939
Abstract

In this research paper, we solve a new n-variable mixed type additive-quadratic functional equation and prove the Ulam stability of the new n-variable mixed type additive-quadratic functional equation in probabilistic modular spaces by using fixed point method.

Published
2020
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6. Ulam stability of linear differential equations using Fourier transform

Author

Murali Ramdoss, Ponmana Selvan-Arumugam, and Choonkil Park

Subjects
hyers-ulam stability, generalized hyers-ulam stability, nth order linear differential equation, fourier transform method, hyers-ulam constant, Mathematics, QA1-939
Abstract

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.

Published
2020
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9. Orthogonal stability of mixed type additive-cubic functional equations in multi-Banach spaces

Author

Murali Ramdoss, Pinelas Sandra, and Raj Aruldass Antony

Subjects
Hyers-Ulam stability, multi-Banach spaces, orthogonally additive-cubic functional equation, fixed point method, 39B82, 39B52, 46B99, 47H10, Mathematics, QA1-939
Abstract

In this paper, we establish the Hyers-Ulam orthogonal stability of the mixed type additive-cubic functional equation in multi-Banach spaces.

Published
2018
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12. Stability of a generalized n-variable mixed-type functional equation in fuzzy modular spaces

Author

Jung Rye Lee, Choonkil Park, Murali Ramdoss, and Divyakumari Pachaiyappan

Subjects
Mixed type, Fuzzy modular space, 01 natural sciences, Stability (probability), Fuzzy logic, Fixed-point iteration, Functional equation, Discrete Mathematics and Combinatorics, Applied mathematics, 0101 mathematics, Variable (mathematics), Mathematics, Hyers–Ulam stability, Mathematics::Functional Analysis, business.industry, Applied Mathematics, lcsh:Mathematics, 010102 general mathematics, Modular design, lcsh:QA1-939, 010101 applied mathematics, Additive and quadratic functional equation, Fixed point method, business, Analysis, Quadratic functional
Abstract

This research paper deals with general solution and the Hyers–Ulam stability of a new generalized n-variable mixed type of additive and quadratic functional equations in fuzzy modular spaces by using the fixed point method.

Published
2021

14. Functional equation and its modular stability with and without Δp-condition

Author

Hemen Dutta, Murali Ramdoss, and Divyakumari Pachaiyappan

Subjects
business.industry, General Mathematics, Mathematical analysis, Functional equation, Modular design, business, Stability (probability), Mathematics
Abstract

Mixed type is a further step of development in functional equations. In this paper, the authors made an attempt to introduce such equation of the following form with its general solution h(py + z) + h(py-z) + h(y + pz) + h(y-pz) = (p + p2)[h(y + z) + h(y-z)] + 2h(py)- 2(p2 + p-1)h(y) for all y,z ? R, p ? 0,?1. Also, without Fatou property authors investigate its various stabilities related to Ulam problem in modular space by considering with and without ?p-condition.

Published
2020

15. Ulam stability of linear differential equations using Fourier transform

Author

Ponmana Selvan-Arumugam, Murali Ramdoss, and Choonkil Park

Subjects
generalized hyers-ulam stability, Mathematics::Functional Analysis, Constant coefficients, Mathematics::Operator Algebras, Differential equation, hyers-ulam stability, lcsh:Mathematics, General Mathematics, nth order linear differential equation, Mathematical analysis, Mathematics::Classical Analysis and ODEs, hyers-ulam constant, Order (ring theory), lcsh:QA1-939, Stability (probability), Nonlinear Sciences::Chaotic Dynamics, symbols.namesake, Fourier transform, Linear differential equation, fourier transform method, symbols, Nonlinear Sciences::Pattern Formation and Solitons, Mathematics
Abstract

The purpose of this paper is to study the Hyers-Ulam stability and generalized Hyers-Ulam stability of general linear differential equations of $n$th order with constant coefficients by using the Fourier transform method. Moreover, the Hyers-Ulam stability constants are obtained for these differential equations.

Published
2020

16. Stability of Generalized AQCQ Functional Equation in Modular Space

Author

Divyakumari Pachaiyappan, John Michael Rassias, and Murali Ramdoss

Subjects
business.industry, Mathematical analysis, Functional equation, General Engineering, Modular design, business, Space (mathematics), Stability (probability), Mathematics
Published
2019

17. STABILITY OF TREDECIC FUNCTIONAL EQUATION IN MATRIX NORMED SPACES

Author

Vithya Veeramani, Murali Ramdoss, and Sandra Pinelas

Subjects
Work (thermodynamics), Matrix (mathematics), Pure mathematics, Current (mathematics), Mathematical analysis, Functional equation, Stability (learning theory), Point method, Mathematics
Abstract

In this current work, we dene and nd the general solution of the tredecic functional equation. We also investigate and establish the generalized Ulam-Hyers stability of this functional equation in matrix normed spaces by using the xed point method.

Published
2017

18. Fourier Transforms and Ulam Stabilities of Linear Differential Equations

Author

Ponmana Selvan Arumugam and Murali Ramdoss

Subjects
Mathematics::Functional Analysis, Constant coefficients, symbols.namesake, Fourier transform, Linear differential equation, Differential equation, Mathematical analysis, Mathematics::Classical Analysis and ODEs, symbols, Order (group theory), First order, Stability (probability), Mathematics
Abstract

The purpose of this paper is to study the Hyers–Ulam stability and Generalized Hyers–Ulam stability of the general Linear Differential Equations of first order and second order with constant coefficients using Fourier Transform method. Moreover, the Hyers–Ulam stability constants of these differential equations are obtained. Some examples are given to illustrate the main results.

Published
2019

19. General Solution and Hyers–Ulam Stability of DuoTrigintic Functional Equation in Multi-Banach Spaces

Author

Antony Raj Aruldass and Murali Ramdoss

Subjects
Mathematics::Functional Analysis, Pure mathematics, Functional equation, Stability (learning theory), Banach space, Fixed point, Mathematics
Abstract

In this paper, we introduce the general form of a new duotrigintic functional equation. Then, we find the general solution and study the generalized Hyers–Ulam stability of such functional equation in multi-Banach spaces by employing fixed point technique. Also, we give an example for non-stability cases for this new functional equation.

Published
2019

20. Euler-Lagrange radical functional equations with solution and stability

Author

Murali Ramdoss, Hemen Dutta, and Divyakumari Pachaiyappan

Subjects
Numerical Analysis, Control and Optimization, Algebra and Number Theory, Euler lagrange, Discrete Mathematics and Combinatorics, Applied mathematics, Stability (probability), Analysis, Mathematics
Published
2020

21. Ulam–Hyers stability of hexadecic functional equations in multi-Banach spaces

Author

Antony Raj Ardulass, Sandra Pinelas, and Murali Ramdoss

Subjects
010101 applied mathematics, Algebra, Numerical Analysis, Applied Mathematics, 010102 general mathematics, Stability (learning theory), Banach space, 0101 mathematics, 01 natural sciences, Analysis, Mathematics
Abstract

In this paper, we compute the general solution and determine the Ulam–Hyers stability for a new form of hexadecic functional equations in multi-Banach spaces.

Published
2017

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