On the reduction principle for differential equations with piecewise constant argument of generalized type

Details On the reduction principle for differential equations with piecewise constant argument of generalized type On the reduction principle for differential equations with piecewise constant argument of generalized type

2006-10-21

arxiv.org/abs/math/0610651v1

Mathematics

General Mathematics

Scientific paper

In this paper we introduce a new type of differential equations with piecewise constant argument (EPCAG), more general than EPCA. The Reduction Principle is proved for EPCAG. The structure of the set of solutions is specified. We establish also the existence of global integral manifolds of quasilinear EPCAG in the so called critical case and investigate the stability of the zero solution.

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