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3 Fasciculi Mathematici

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Of neutral type hyperbolic integrodifferential equation

Pachpatte B. G.

Fasciculi Mathematici

2008

Nr 40

57-69

In this paper we study the existence, uniqueness and other properties of solutions of a certain neutral type hyperbolic integrodifferential equation in two independent variables. The Banach fixed point theorem and a certain integral inequality with explicit estimate are used to establish the results.

A system for implicit impulsive nonlinear parabolic functional-differential inequalities

Byszewski L.

Fasciculi Mathematici

2007

Nr 37

5-18

A theorem about a system of weak implicit impulsive nonlinear parabolic functional-differential inequalities in an arbitrary parabolic set is proved. As a consequence of the theorem, maximum principles for the system of implicit impulsive nonlinear parabolic functional-differential inequalities and the uniqueness of a classical solution of a mixed implicit impulsive problem for a system of nonlinear parabolic functional-differential equations are obtained.

Uniqueness criterion of a classical solution of a biparabolic problem in an unbounded domain with a curvilinear boundary

Brandys J.

Fasciculi Mathematici

2004

Nr 34

5-14

The aim of the paper is to prove a uniqueness criterion of a classical solution of a biparabolic problem in an unbounded domain with a curvilinear boundary.