Blow-up and decay of solutions for a delayed Timoshenko equation with variable-exponents

[摘要] This work deals with a Timoshenko equation with delay term and variable exponent nonlinearity. Firstly, in the presence of the source term, we obtain the blow up of solutions in a finite time. Later, in the absence of the source term, we establish the decay results by using an integral inequality due to Komornik. These, improve and extend the previous studies in the literature.

[学科分类] 数学（综合）

[关键词] blow up;decay;delay term;Timoshenko equation;variable exponents