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

نویسندگان
Shahrouzi, Mohammad ID 1
Ferreira, Jorge ID 2
Pişkin, Erhan ID 3

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.

doi
10.22075/ijnaa.2023.28975.4034
چکیده

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.

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