Strong Maximum Principles for Implicit Parabolic Functional-Differential Problems Together with Nonstandard Inequalities with Integrals

L. Byszewski

Abstract

The aim of the paper is to give strong maximum principles for implicit parabolic functional-differential problems together with nonstandard inequalities with integrals in relatively arbitrary (n + 1) - dimensional time-space sets more general than the cylindrical domain. The results obtained can be applied in the theory of diffusion and in the theory of heat conduction.