Differentiability of solutions of impulsive differential equations with respect to the impulsive perturbations

被引：13

作者：

Dishlieva, K. G. ^{[1
]}

机构：

[1] Tech Univ, Sofia, Bulgaria

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2011年 / 12卷 / 06期

关键词：

Impulsive differential equations; Continuous dependence; Differentiability of solutions; Initial conditions; Impulsive perturbations; Logistic model; PREDATOR-PREY MODEL; PERIODIC-SOLUTION; EXISTENCE;

D O I：

10.1016/j.nonrwa.2011.06.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The nonlinear impulsive differential equations with fixed moments of impulsive perturbation are the main object of investigation in this paper. Sufficient conditions for these types of equations are obtained, under which their solutions are continuously dependent and differentiable with respect to the initial conditions and the impulsive perturbations. The results are applied to a mathematical model of population dynamics. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：3541 / 3551

页数：11

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[2]

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[3]

[Anonymous], 1997, Dynamic Impulse Systems: Theory and Applications

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