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

Year 2017, Volume: 5 Issue: 3, 128 - 153, 01.07.2017

Oleh Buhrii Nataliya Buhrii

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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