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The main propose of this paper is to study the blow-up of solutions of an initial boundary value problem with a nonlocal boundary condition for a system of nonlinear singular viscoelastic equations. where the blow-up of solutions in finite time with nonpositive initial energy combined with a positive initial energy are shown. 相似文献
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Draifia Alaeddine 《Mathematical Methods in the Applied Sciences》2021,44(1):196-219
This work deals with decay rates for the energy of an initial boundary value problem with a nonlocal boundary condition for a system of nonlinear singular viscoelastic equations. We prove the decay rates for the energy of a singular one‐dimensional viscoelastic system with a nonlinear source term and nonlocal boundary condition of relaxation kernels described by the inequality for all t ≥ 0, with H convex. 相似文献
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Salah Boulaaras Abderrahmane Zaraï Alaeddin Draifia 《Mathematical Methods in the Applied Sciences》2019,42(8):2664-2679
In this paper, we are going to deal with the nonlocal mixed boundary value problem for the Moore‐Gibson‐Thompson equation. Galerkin method was the main used tool for proving the solvability of the given nonlocal problem. 相似文献
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Salah Boulaaras Alaeddin Draifia Khaled Zennir 《Mathematical Methods in the Applied Sciences》2019,42(14):4795-4814
This work deals with the study of a new class of nonlinear viscoelastic Kirchhoff equation with Balakrishnan‐Taylor damping and logarithmic nonlinearity. A decay result of the energy of solutions for the problem without imposing the usual relation between a certain relaxation function and its derivative is established. This result generalizes earlier ones to an arbitrary rate of decay, which is not necessarily of exponential or polynomial decay. 相似文献
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