Initial-boundary value problems for nonlinear parabolic equations with the variable exponents of nonlinearity and integral operators type Volterra

Abstract

Initial-boundary value problems for nonlinear Volterra integro-differential equations with the variable exponents of nonlinearity are investigated. Weak solutions which belong to the generalized Sobolev and Lebesgue spaces are considered. Under certain conditions on data-in the uniqueness and existence of the solutions are proved. Also estimates of the solutions are obtained.

Authors and Affiliations

M. M. Bokalo, O. Y. Sus

Keywords

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  • EP ID EP190941
  • DOI -
  • Views 99
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How To Cite

M. M. Bokalo, O. Y. Sus (2016). Initial-boundary value problems for nonlinear parabolic equations with the variable exponents of nonlinearity and integral operators type Volterra. Дослідження в математиці і механіці, 21(2), 19-36. https://europub.co.uk/articles/-A-190941