Electron. J. Diff. Equ., Vol. 2013 (2013), No. 172, pp. 1-8.

Ulam-Hyers-Rassias stability of semilinear differential equations with impulse

Xuezhu Li, Jinrong Wang

Abstract:
In this article, we present Ulam-Hyers-Rassias and Ulam-Hyers stability results for semilinear differential equations with impulses on a compact interval. An example is also provided to illustrate our results.

Submitted March 20, 2013. Published July 26, 2013.
Math Subject Classifications: 34G20, 34D10, 45N05.
Key Words: Semilinear differential equations; impulses; Ulam-Hyers-Rassias stability.

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Xuezhu Li
Department of Mathematics, Guizhou University
Guiyang, Guizhou 550025, China
email: xzleemath@126.com
Jinrong Wang
Department of Mathematics, Guizhou University
Guiyang, Guizhou 550025, China
email: wjr9668@126.com

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