Stability in nonlinear Levin-Nohel integro-differential equations (Q2787019)
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scientific article; zbMATH DE number 6545219
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability in nonlinear Levin-Nohel integro-differential equations |
scientific article; zbMATH DE number 6545219 |
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24 February 2016
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fixed points
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stability
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integro-differential equations
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variable delays
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Stability in nonlinear Levin-Nohel integro-differential equations (English)
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In this paper the authors present stability results for nonlinear Levin-Nohel integro differential equations. The results presented improve some of the results by \textit{T. A. Burton} [Proc. Am. Math. Soc. 132, No. 12, 3679--3687 (2004; Zbl 1050.34110)], \textit{L. C. Becker} and \textit{T. A. Burton} [Proc. R. Soc. Edinb., Sect. A, Math. 136, No. 2, 245--275 (2006; Zbl 1112.34054)], \textit{C. Jin} and \textit{J. Luo} [Comput. Math. Appl. 57, No. 7, 1080--1088 (2009; Zbl 1186.45011)], \textit{N. T. Dung} [J. Math. Phys. 54, No. 8, 082705, 11 p. (2013; Zbl 1286.45006)]. The authors use Banach fixed point theorem to derive the stability results. Equation with several delay terms are also discussed.
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