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
About this paper
Print ISSN
1083-2564
Online ISSN
MR
MR3075771
ZBL
Google Scholar
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