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
or
, 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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