Journal of Applied Mathematics and Stochastic Analysis
Volume 8 (1995), Issue 1, Pages 59-68
doi:10.1155/S1048953395000050
A system of impulsive degenerate nonlinear parabolic
functional-differential inequalities
Cracow University of Technology, Institute of Mathematics, Cracow 31-155, Poland
Received 1 April 1994; Revised 1 June 1994
Copyright © 1995 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
A theorem about a system of strong impulsive degenerate nonlinear parabolic
functional-differential inequalities in an arbitrary parabolic set is proved. As a
consequence of the theorem, some theorems about impulsive degenerate nonlinear
parabolic differential inequalities and the uniqueness of a classical solution of an
impulsive degenerate nonlinear parabolic differential problem are established.