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Remarks on first order impulsive ordinary differential equations with anti-periodic boundary conditions

Skóra L.

Fasciculi Mathematici

2005

Nr 36

103-108

The paper deals with the anti-periodic boundary value problem for impulsive ordinary differential equations. The impulsive differential inequalities generated by this problem are considered and a uniqueness criterion is obtained.

Estimates of absolute values of solutions of impulsive nonlinear parabolic problems

Skóra L.

Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae

1998

[Z] 38

127-138

In this paper we study impulsive nonlinear parabolic problems. For this purpose we prove three theorems on an estimate of absolute values of solutions of a mixed problem for impulsive parabolic equations, on estimates of the difference between two solutions of impulsive parabolic problems and on the uniqueness criterion of a solution of the first mixed impulsive parabolic problem. We apply properties of the theory of impulsive parabolic and ordinary problems.