Coupled system of nonlinear viscoelastic plate equations of (p(x), q(x))-Kirchhoff-type: Global existence, general decay, and blow-up

被引：1

作者：

Shahrouzi, Mohammad ^{[1
,2
,5
]}

Ferreira, Jorge ^{[3
]}

Tahamtani, Faramarz ^{[4
]}

机构：

[1] Jahrom Univ, Dept Math, Jahrom, Iran

[2] Ferdowsi Univ Mashhad, Fac Math Sci, Dept Appl Math, Mashhad, Iran

[3] Fed Fluminense Univ, Dept Exact Sci, Volta Redonda, Brazil

[4] Shiraz Univ, Dept Math, Shiraz, Iran

[5] Jahrom Univ, Dept Math, POB 74137-66171, Jahrom, Iran

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2024年 / 47卷 / 04期

关键词：

blow-up; general decay; global existence; system of Kirchhoff-type; variable exponents; KIRCHHOFF-TYPE EQUATION; WAVE-EQUATIONS; LOCAL EXISTENCE; UNIFORM DECAY; BEHAVIOR;

D O I：

10.1002/mma.9759

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work studies the global behavior of solutions for a system of (p(x),q(x))-Kirchhoff-type equations. We prove the global existence of solutions, and next, by constructing suitable auxiliary functionals, the general decay of solutions has been confirmed when the exponents satisfy appropriate conditions. Also, under suitable conditions on data, we establish the finite time blow-up of solutions with negative initial energy. Our results extend and improve many earlier results in the literature.

引用

页码：2472 / 2499

页数：28

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