Semi-Hyers–Ulam–Rassias Stability of a Volterra Integro-Differential Equation of Order I with a Convolution Type Kernel via Laplace Transform-Reference-Cited by-同舟云学术

Semi-Hyers–Ulam–Rassias Stability of a Volterra Integro-Differential Equation of Order I with a Convolution Type Kernel via Laplace Transform

Published:2021-11-15 Issue:11 Volume:13 Page:2181
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Inoan Daniela,Marian Daniela^ORCID

Abstract

In this paper, we investigate the semi-Hyers–Ulam–Rassias stability of a Volterra integro-differential equation of order I with a convolution type kernel. To this purpose the Laplace transform is used. The results obtained show that the stability holds for problems formulated with various functions: exponential and polynomial functions. An important aspect that appears in the form of the studied equation is the symmetry of the convolution product.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/13/11/2181/pdf

Reference39 articles.

1. A Collection of Mathematical Problems;Ulam,1960

2. On the Stability of the Linear Functional Equation

3. Hyers stability of the linear differential equation;Obloza;Rocznik Nauk-Dydakt. Prace Mat.,1993

4. On some inequalities and stability results related to the exponential function

5. The Hyers–Ulam stability constants of first order linear differential operators

Cited by 9 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Ulam–Hyers–Rassias Stability of Neutral Functional Integrodifferential Evolution Equations with Non-instantaneous Impulses on an Unbounded Interval;Qualitative Theory of Dynamical Systems;2023-04-21

2. Semi-Hyers–Ulam–Rassias Stability of Some Volterra Integro-Differential Equations via Laplace Transform;Axioms;2023-03-07

3. Stability of some generalized fractional differential equations in the sense of Ulam–Hyers–Rassias;Boundary Value Problems;2023-01-26

4. Semi-Hyers-Ulam-Rassias stability for an integro-differential equation of order;Demonstratio Mathematica;2023-01-01

5. Numerical Analysis of Alternating Direction Implicit Orthogonal Spline Collocation Scheme for the Hyperbolic Integrodifferential Equation with a Weakly Singular Kernel;Mathematics;2022-09-19