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

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  • Nadia Mezouar
  • Salah Mahmoud Boulaaras
  • Sultan Alodhaibi
  • Salem Alkhalaf

Abstract

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.

Suggested Citation

  • Nadia Mezouar & Salah Mahmoud Boulaaras & Sultan Alodhaibi & Salem Alkhalaf, 2020. "Global Existence and Decay of Solutions for Coupled Nondegenerate Kirchhoff System with a Time Varying Delay Term," Complexity, Hindawi, vol. 2020, pages 1-20, May.
    • Handle: RePEc:hin:complx:6324971
    DOI: 10.1155/2020/6324971
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