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Solvability of a Mixed Nonlocal Problem for a Nonlinear Singular Viscoelastic Equation

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Abstract

The present paper deals with a nonlinear viscoelastic equation having a dissipation term. With the equation some classical and non classical boundary conditions are combined. Based on some a priori bounds, iteration processes and density arguments, we simultaneously solve the nonlinear and the associated linear problems.

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Author notes

  1. Said Mesloub

    Present address: Departement de Mathematiques, Universite’ de Cheikh Larbi Tebessi, Tebessa, 12001, Algerie

Authors and Affiliations

  1. Department of Mathematics, King Saud University, P.O.Box 2455, Riyadh, 11451, Saudi Arabia

    Said Mesloub

  2. Département de Mathématiques, Université de Tebessa, Tebessa, Algerie

    Fatiha Mesloub

Authors
  1. Said Mesloub
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  2. Fatiha Mesloub
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Correspondence to Said Mesloub.

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Mesloub, S., Mesloub, F. Solvability of a Mixed Nonlocal Problem for a Nonlinear Singular Viscoelastic Equation. Acta Appl Math 110, 109–129 (2010). https://doi.org/10.1007/s10440-008-9388-y

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  • DOI: https://doi.org/10.1007/s10440-008-9388-y

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