# Properties of the solutions of a system of differential equations with maxima, via weakly picard operator theory

## Abstract

In this paper we present some properties of the solutions of a system of differential equation with maxima. Existence, uniqueness, inequalities of ˇCaplygin type and data  dependence (monotony, continuity) results for the solution of the Cauchy problem of this system are obtained using weakly Picard operator technique.

## Authors

D. Otrocol
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy,

## Keywords

Differential equations with maxima, data dependence, Picard operator technique

## Cite this paper as:

D. Otrocol, Properties of the solutions of a system of differential equations with maxima, via weakly picard operator theory, Commun. Appl. Anal. Vol. 17 (2013), no. 1, pp. 99–108

1083-2564

MR3075771