Title : ( Existence asymptotic stability and blow-up results for a variable-exponent viscoelastic double-Kirchhoff-type wave equation )
Authors: Mohammad Shahrouzi , Jorge Ferreira , Erhan Piskin ,
Full TextAbstract
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
@article{paperid:1104641,
author = {Shahrouzi, Mohammad and Jorge Ferreira and Erhan Piskin},
title = {Existence asymptotic stability and blow-up results for a variable-exponent viscoelastic double-Kirchhoff-type wave equation},
journal = {International Journal of Nonlinear Analysis and Applications},
year = {2024},
volume = {15},
number = {2},
month = {February},
issn = {2008-6822},
pages = {95--114},
numpages = {19},
keywords = {Global existence; asymptotic stability; blow-up; Kirchhoff-type equation; nonlocal damping; variable
exponent},
}
%0 Journal Article
%T Existence asymptotic stability and blow-up results for a variable-exponent viscoelastic double-Kirchhoff-type wave equation
%A Shahrouzi, Mohammad
%A Jorge Ferreira
%A Erhan Piskin
%J International Journal of Nonlinear Analysis and Applications
%@ 2008-6822
%D 2024
