Title : ( General decay and blow up of solutions for a plate viscoelastic p ( x )-Kirchhoff type equation with variable exponent nonlinearities and boundary feedback )
Authors: Jorge Ferreira , Erhan Piskin , Mohammad Shahrouzi ,
Full TextAbstract
In this paper, we consider a plate viscoelastic p(x)-Kirchhoff type equation with variable-exponent nonlinearities of the form associated with initial and boundary feedback. Under appropriate conditions on p(.);m(.) and q(.), general decay result along the solution energy is proved. By introducing a suitable auxiliary function, it is also shown that regarding negative initial energy and a suitable range of variable exponents, solutions blow up in a finite time.
Keywords
, General decay, blow-up, viscoelastic, p(x)-Kirchhoff type equation.
@article{paperid:1098949,
author = {جرج فریرا and ارهان پیشکین and Shahrouzi, Mohammad},
title = {General decay and blow up of solutions for a plate viscoelastic
p
(
x
)-Kirchhoff type equation with variable exponent nonlinearities and boundary feedback},
journal = {Quaestiones Mathematicae},
year = {2024},
volume = {47},
number = {4},
month = {April},
issn = {1607-3606},
pages = {813--830},
numpages = {17},
keywords = {General decay; blow-up; viscoelastic; p(x)-Kirchhoff type equation.},
}
%0 Journal Article
%T General decay and blow up of solutions for a plate viscoelastic
p
(
x
)-Kirchhoff type equation with variable exponent nonlinearities and boundary feedback
%A جرج فریرا
%A ارهان پیشکین
%A Shahrouzi, Mohammad
%J Quaestiones Mathematicae
%@ 1607-3606
%D 2024
