ASYMPTOTIC FORMULAE FOR SOLUTIONS TO IMPULSIVE DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT ARGUMENT OF GENERALIZED TYPE

被引：0

作者：

Castillo, Samuel ^{[1
]}

Pinto, Manuel ^{[2
]}

Torres, Ricardo ^{[3
]}

机构：

[1] Univ Bio Bio, Fac Ciencias, Dept Matemat, GISDA, Concepcion, Chile

[2] Univ Chile, Fac Ciencias, Dept Matemat, Santiago, Chile

[3] Univ Austral Chile, Fac Ciencias, Inst Ciencias Fis & Matemat, Campus Isla Teja, Valdivia, Chile

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2019年

关键词：

Piecewise constant arguments; stability of solutions; Gronwall's i nequality; asymptotic equivalence; impulsive differential equations; CONVERGENCE; EQUIVALENCE; STABILITY; BEHAVIOR; SYSTEMS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we give some asymptotic formulae for impulsive differential system with piecewise constant argument of generalized type (abbreviated IDEPCAG). These formulae are based on certain integrability conditions, by means of a Gronwall-Bellman type inequality and the Banach's fixed point theorem. Also, we study the existence of an asymptotic equilibrium of nonlinear and semilinear IDEPCAG systems. We present examples that illustrate our the results.

引用

页数：22

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