General decay and blow up of solutions for a plate viscoelastic p(x)-Kirchhoff type equation with variable exponent nonlinearities and boundary feedback.

Autor: Ferreira, Jorge, Pişkin, Erhan, Shahrouzi, Mohammad
Předmět:
Zdroj: QM - Quaestiones Mathematicae; May2024, Vol. 47 Issue 4, p813-830, 18p
Abstrakt: 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index