On initial-boundary value problem for nonlinear integro-differential equations with variable exponents of nonlinearity

Abstract

Some nonlinear parabolic integro-differential equations with variable exponents of the nonlinearity are considered. The initial-boundary value problem for these equations is investigated and the existence theorem for the problem is proved.

Keywords

• Nonlinear parabolic equation,integro-differential equation,generalized Lebesgue space

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