Electron. J. Diff. Equ., Vol. 2013 (2013), No. 184, pp. 1-7.

Hyers-Ulam stability of linear second-order differential equations in complex Banach spaces

Yongjin Li, Jinghao Huang

Abstract:
We prove the Hyers-Ulam stability of linear second-order differential equations in complex Banach spaces. That is, if y is an approximate solution of the differential equation $y''+ \alpha y'(t) +\beta y = 0$ or $y''+ \alpha y'(t) +\beta y = f(t)$, then there exists an exact solution of the differential equation near to y.

Submitted May 1, 2013. Published August 10, 2013.
Math Subject Classifications: 34K20, 26D10.
Key Words: Hyers-Ulam stability; differential equation.

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Yongjin Li
Department of Mathematics, Sun Yat-Sen University
Guangzhou 510275, China
email: stslyj@mail.sysu.edu.cn
Jinghao Huang
Department of Mathematics, Sun Yat-Sen University
Guangzhou 510275, China
email: hjinghao@mail2.sysu.edu.cn

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