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On the Stability of Solutions of Nonlinear Functional Differential Equation of the Fifth-Order
Department of Mathematics, Faculty of Science, Assiut University, Assiut, Egypt
Department of Mathematics, Faculty of Science, Assiut University, Assiut, Egypt
Department of Mathematics, Faculty of Science, New Valley Branch, Assiut University, New Valley, El-Khargah, Egypt
Department of Mathematics, Faculty of Science, Assiut University, Assiut, Egypt
- 1 Department of Mathematics, Faculty of Science, Assiut University, Assiut, Egypt
- 2 Department of Mathematics, Faculty of Science, Assiut University, Assiut, Egypt
- 3 Department of Mathematics, Faculty of Science, New Valley Branch, Assiut University, New Valley, El-Khargah, Egypt
- 4 Department of Mathematics, Faculty of Science, Assiut University, Assiut, Egypt
Advances in Pure Mathematics·Volume 04 (2014)·Pages 357–367·Published 15 August 2014·DOI10.4236/apm.2014.48046
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Abstract
The main purpose of this paper is to investigate global asymptotic stability of the zero solution of the fifth-order nonlinear delay differential equation on the following form By constructing a Lyapunov functional, sufficient conditions for the stability of the zero solution of this equation are established.
KeywordsGlobal Asymptotic StabilityLyapunov FunctionalFifth-Order Delay Differential Equations
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