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

Document Type : Research Paper


1 Department of Mathematics, Jahrom University, Jahrom, Iran

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

3 Dicle University, Department of Mathematics, Diyarbakir, Turkey



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.


Articles in Press, Corrected Proof
Available Online from 20 March 2023
  • Receive Date: 12 November 2022
  • Revise Date: 27 December 2022
  • Accept Date: 06 March 2023
  • First Publish Date: 20 March 2023