Initial-boundary value problems for nonlinear parabolic equations with the variable exponents of nonlinearity and integral operators type Volterra
Journal Title: Дослідження в математиці і механіці - Year 2016, Vol 21, Issue 2
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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