Power series method and approximate linear differential equations of second order

Advances in Difference Equations

Hamdullah evli¹  Soon-Mo Jung² 

[1] Department of Mathematics, Faculty of Sciences and Arts, Istanbul Commerce University, Uskudar, Turkey;Mathematics Section, College of Science and Technology, Hongik University, Sejong, Republic of Korea

关键词: power series method;    approximate linear differential equation;    simple harmonic oscillator equation;    Hyers-Ulam stability;    approximation;   

DOI  :  10.1186/1687-1847-2013-76

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we will establish a theory for the power series method that can be applied to various types of linear differential equations of second order to prove the Hyers-Ulam stability. MSC:34A05, 39B82, 26D10, 34A40.

【 授权许可】

CC BY