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Second order evolution differential functional equations with infinite delay

Człapiński T., Karpowicz A.

Commentationes Mathematicae

2018

Vol. 58, No. 1/2

93--104

We consider a second order semilinear functional evolution equation with infinite delay in a Banach space. We prove the existence of mild solutions for this equation using the measure of noncompactness technique and the Schauder fixed point theorem.

The existence of a unique solution of the hyperbolic functional differential equation

Karpowicz A.

Demonstratio Mathematica

2014

Vol. 47, nr 4

866--877

We consider the Z. Szmydt problem for the hyperbolic functional differential equation. We prove a theorem on existence of a unique classical solution and the Carathéodory solution of the hyperbolic equation.

The maximum principle for viscosity solutions of elliptic differential functional equations

Karpowicz A.

Opuscula Mathematica

2013

Vol. 33, no. 1

99-105

This paper is devoted to the study of the maximum principle for the elliptic equation with a deviated argument. We will consider viscosity solutions of this equation.

The method of quasilinearization for system of hyperbolic functional differential equations

Karpowicz A.

Commentationes Mathematicae

2008

Vol. 48, [Z] 2

155-168

We deal with monotone iterative method for the Darboux problem for the system of hyperbolic partial functional-differential equations. [zob. pełny tekst: http://www.staff.amu.edu.pl/~commath/papers/482/4825.pdf]

Zastosowanie i właściwości taśm mikowych porowatych typu "Ergopor"

Piotrowska-Baran M., Karpowicz A., Matysiak I.

Maszyny Elektryczne : zeszyty problemowe

1999

Nr 58

153-156