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Global Existence and Decay of Solutions for Coupled Nondegenerate Kirchhoff System with a Time Varying Delay Term
Journal article   Open access  Peer reviewed

Global Existence and Decay of Solutions for Coupled Nondegenerate Kirchhoff System with a Time Varying Delay Term

Nadia Mezouar, Salah Mahmoud Boulaaras, Sultan Alodhaibi and Salem Alkhalaf
Complexity (New York, N.Y.), Vol.2020, pp.1-20
2020
DOI: https://doi.org/10.1155/2020/6324971

Abstract

Mathematics Mathematics, Interdisciplinary Applications Multidisciplinary Sciences Physical Sciences Science & Technology Science & Technology - Other Topics
This paper deals with the global existence of solutions in a bounded domain for nonlinear viscoelastic Kirchhoff system with a time varying delay by using the energy and Faedo-Galerkin method with respect to the delay term weight condition in the feedback and the delay speed. Furthermore, by using some convex functions properties, we prove a uniform stability estimate.
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https://doi.org/10.1155/2020/6324971View
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