Blow up, growth, and decay of solutions for a class of coupled nonlinear viscoelastic Kirchhoff equations with distributed delay and variable exponents

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2024年4月11日

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Salah Boulaaras,
Abdelbaki Choucha,
Djamel Ouchenane,
Rashid Jan

摘要

In this work, we consider a quasilinear system of viscoelastic equations with dispersion, source, distributed delay, and variable exponents. Under a suitable hypothesis the blow-up and growth of solutions are proved, and by using an integral inequality due to Komornik the general decay result is obtained in the case of absence of the source term $f_{1} = f_{2} = 0$ $f_{1}=f_{2}=0$ .