Existence, asymptotic stability and blow-up results for a variable-exponent viscoelastic double-Kirchhoff-type wave equation

Mohammad Shahrouzi; Jorge Ferreira; Erhan Pişkin

Existence, asymptotic stability and blow-up results for a variable-exponent viscoelastic double-Kirchhoff-type wave equation

Publish place: International Journal of Nonlinear Analysis and Applications، Vol: 15، Issue: 2

Publish Year: 1403

نوع سند: مقاله ژورنالی

زبان: English

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https://civilica.com/doc/1901284

شناسه ملی سند علمی:

JR_IJNAA-15-2_009

تاریخ نمایه سازی: 14 بهمن 1402

Abstract:

The present study examined the behavior of solutions for a viscoelastic double-Kirchhoff-type wave equation with nonlocal degenerate damping term and variable exponent nonlinearities. Under appropriate conditions for the data and exponents, we prove the global existence, asymptotic stability, and blow up of solutions with arbitrary initial energy.

Keywords:

global existence , Asymptotic stability , Blow-Up , Kirchhoff-type equation , nonlocal damping , Variable exponent

Authors

Mohammad Shahrouzi

Department of Mathematics, Jahrom University, Jahrom, Iran

Jorge Ferreira

Federal Fluminense University, Department of Exact Sciences, Volta Redonda, RJ, Brazil

Erhan Pişkin

Dicle University, Department of Mathematics, Diyarbakir, Turkey

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