Journal of Applied Mathematics and Stochastic Analysis
Volume 6 (1993), Issue 3, Pages 247-260
doi:10.1155/S1048953393000206
Impulsive nonlocal nonlinear parabolic differential problems
Cracow University of Technology, Institute of Mathematics, Cracow 31-155, Poland
Received 1 March 1993; Revised 1 June 1993
Copyright © 1993 Ludwik Byszewski. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
The aim of the paper is to prove a theorem about a weak
impulsive nonlinear parabolic differential inequality together with weak
impulsive nonlocal nonlinear inequalities. A weak maximum principle
for an impulsive nonlinear parabolic differential inequality together with
weak impulsive nonlocal nonlinear inequalities and an uniqueness
criterion for the existence of the classical solution of an impulsive
nonlocal nonlinear parabolic differential problem are obtained as a
consequence of the theorem about the weak impulsive nonlinear parabolic
differential inequality together with weak impulsive nonlocal nonlinear
inequalities.