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.
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy,
Differential equations with maxima, data dependence, Picard operator technique
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
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