Diana Otrocol and Ioan A. Rus: Functional-differential equations with "maxima" via weakly Picard operators theory, p.253-261

Abstract:

The purpose of this paper is to present a differential equation with "maxima". Existence, uniqueness, inequalities of Caplygin type and data dependence (monotony, continuity) results for the solution of the Cauchy problem of this equation are obtained using weakly Picard operators theory.

Key Words: Picard operators, weakly Picard operators, functional-differential equations with "maxima", fixed points, data dependence.

2000 Mathematics Subject Classification: Primary: 45N05,
Secondary: 47H10.

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