Hyers-Ulam Stability of Nonhomogeneous Linear Differential Equations of Second Order: A Scientific Explanation

Authors

  • Yongjin Li Department of Mathematics, Sun Yat-sen University, Guangzhou 510275, China.
  • Yan Shen Department of Mathematics, Sun Yat-sen University, Guangzhou 510275, China.

DOI:

https://doi.org/10.9734/bpi/tpmcs/v9/2940D

Keywords:

Hyers-Ulam, stability, second order, linear differential equations

Abstract

The aim of this paper is to prove the stability in the sense of Hyers-Ulam of differential equation of second order \(y^{\prime\prime}+p(x)y^{\prime}+q(x)y+r(x)=0\). That is, if f is an approximate solution of the equation \(y^{\prime\prime}+p(x)y^{\prime}+q(x)y+r(x)=0\), then there exists an exact solution of the equation near to f.

Published

2021-05-04

How to Cite

Yongjin Li, & Yan Shen. (2021). Hyers-Ulam Stability of Nonhomogeneous Linear Differential Equations of Second Order: A Scientific Explanation. Theory and Practice of Mathematics and Computer Science Vol. 9, 94–99. https://doi.org/10.9734/bpi/tpmcs/v9/2940D

Issue

Theory and Practice of Mathematics and Computer Science Vol. 9

Section

Chapters