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Obloza M, Connections between Hyers and Lyapunov stability of the ordinary differential equations, Rocznik Nauk.-Dydakt. Prace Mat., No. 14, 141-146, 1997.

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Article

A Fixed Point Approach to Hyers-Ulam-Rassias Stability of Nonlinear Differential Equations

1Department of Mathematics, Al-Quds Open University, Salfit, West-Bank, Palestine


American Journal of Applied Mathematics and Statistics. 2015, Vol. 3 No. 6, 226-232
DOI: 10.12691/ajams-3-6-3
Copyright © 2015 Science and Education Publishing

Cite this paper:
Maher Nazmi Qarawani. A Fixed Point Approach to Hyers-Ulam-Rassias Stability of Nonlinear Differential Equations. American Journal of Applied Mathematics and Statistics. 2015; 3(6):226-232. doi: 10.12691/ajams-3-6-3.

Correspondence to: Maher  Nazmi Qarawani, Department of Mathematics, Al-Quds Open University, Salfit, West-Bank, Palestine. Email: mkerawani@qou.edu

Abstract

In this paper we use the fixed point approach to obtain sufficient conditions for Hyers-Ulam-Rassias stability of nonlinear differential. Some illustrative examples are given.

Keywords