Decay rate and blow up solutions for coupled quasilinear system

The paper studies a system of nonlinear viscoelastic Kirchhoff system with a time varying delay and general coupling terms. We prove the global existence of solutions in a bounded domain using the energy and Faedo–Galerkin methods with respect to the condition on the parameters in the coupling terms together with the weight condition as regards the delay terms in the feedback and the delay speed. Furthermore, we construct some convex function properties, and we prove the uniform stability estimate.

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Decay rate and blow up solutions for coupled quasilinear system

Cited by 2 publications

References 13 publications

Global existence combined with general decay of solutions for coupled Kirchhoff system with a distributed delay term

Global existence combined with general decay of solutions for coupled Kirchhoff system with a distributed delay term

Global existence and exponential decay of solutions for generalized coupled non-degenerate Kirchhoff system with a time varying delay term

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