Hyers-Ulam-Rassias stability of non-linear delay differential equations
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Authors
Akbar Zada
- Department of Mathematics, University of Peshawar, Peshawar 25000, Pakistan.
Shah Faisal
- Department of Mathematics, University of Peshawar, Peshawar 25000, Pakistan.
Yongjin Li
- Department of Mathematics, Sun Yat-Sen University, Guangzhou, 510275, P. R. China.
Abstract
In this paper, we prove the Hyers-Ulam-Rassias stability and Hyers-Ulam stability of delay differential equation of the form
\[y^{(n)}=F(t,\{y^{(i)}(t)\}^{n-1}_{i=0},\{y^{(i)}(t-\lambda)\}^{n-1}_{i=0}),\]
with Lipschitz condition by using fixed point approach. The results of the paper generalize most of the results concerning the
stability of delay differential equations in the existing literature.
Share and Cite
ISRP Style
Akbar Zada, Shah Faisal, Yongjin Li, Hyers-Ulam-Rassias stability of non-linear delay differential equations, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 2, 504--510
AMA Style
Zada Akbar, Faisal Shah, Li Yongjin, Hyers-Ulam-Rassias stability of non-linear delay differential equations. J. Nonlinear Sci. Appl. (2017); 10(2):504--510
Chicago/Turabian Style
Zada, Akbar, Faisal, Shah, Li, Yongjin. "Hyers-Ulam-Rassias stability of non-linear delay differential equations." Journal of Nonlinear Sciences and Applications, 10, no. 2 (2017): 504--510
Keywords
- Fixed point theorem
- Hyers-Ulam stability
- Hyers-Ulam-Rassias stability
- non-linear delay differential equations.
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