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,
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