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.
Highlights
In this paper we prove a theorem about strong inequalities for the following diagonal system of degenerate nonlinear parabolic functional-differential inequalities
The impulsive conditions in the present paper are quite different from those considered in [3]. They are similar to the impulsive conditions used by Bainov, Kamont and Minchev in [1]
We introduce the following sets: Dj" D V [(tj, tj + 1) x n] (j 0, 1,..., S 1), A System of Impulsive Degenerate Nonlinear Parabolic Functional-Differential Inequalities 61
Summary
Where (t,x) eD\[.J ({tj}xNn), 0
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