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

Ludwik Byszewski

 Cracow University of Technology, Institute of Mathematics, Cracow 31-155, Poland
Received 1 April 1994; Revised 1 June 1994

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.