On the Qualitative Behaviors of Nonlinear Functional Differential Systems of Third Order

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Date

2017

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Volume Title

Publisher

Springer Singapore

Abstract

In this paper, the author gives new sufficient conditions for the boundedness and globally asymptotically stability of solutions to certain nonlinear delay functional differential systems of third order.The technique of proof involves defining an appropriate Lyapunov-Krasovskii functional and applying LaSalle's invariance principle. The obtained results include and improve the results in literature. © Springer Nature Singapore Pte Ltd. 2017. All rights reserved.

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Source

Advances in Nonlinear Analysis via the Concept of Measure of Noncompactness

Volume

Issue

Start Page

421

End Page

439