关于广义分段常变量微分方程的约化原理
On the reduction principle for differential equations with piecewise constant argument of generalized type
摘要：
本文引入了一类新的具有分段常数变元的微分方程（EPCAG），它比EPCA更一般。证明了EPCAG的归约原理。指定了一组解决方案的结构。我们还建立了拟线性EPCAG在所谓临界情形下整体积分流形的存在性，并研究了零解的稳定性。
英文摘要：
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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