On the reduction principle for differential equations with piecewise constant argument of generalized type
General Mathematics
2015-06-26 v1 Dynamical Systems
Abstract
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.
Keywords
Cite
@article{arxiv.math/0610651,
title = {On the reduction principle for differential equations with piecewise constant argument of generalized type},
author = {M. U. Akhmet},
journal= {arXiv preprint arXiv:math/0610651},
year = {2015}
}