Variational approach to impulsive differential equations

被引：407

作者：

Nieto, Juan J. ^{[1
]}

O'Regan, Donal ^{[2
]}

机构：

[1] Univ Santiago de Compostela, Fac Matemat, Dept Anal Matemat, Santiago De Compostela 15782, Spain

[2] Natl Univ Ireland, Dept Math, Galway, Ireland

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2009年 / 10卷 / 02期

关键词：

Impulsive ordinary differential equations; Lax-Milgram theorem; Critical points; Mountain Pass theorem; Dirichlet boundary conditions; BOUNDARY-VALUE-PROBLEMS; GLOBAL ATTRACTIVITY; PULSE VACCINATION; EPIDEMIC MODEL; SYSTEMS;

D O I：

10.1016/j.nonrwa.2007.10.022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Many dynamical systems have an impulsive dynamical behavior due to abrupt changes at certain instants during the evolution process. The mathematical description of these phenomena leads to impulsive differential equations. In this work we present a new approach via variational methods and critical point theory to obtain the existence of solutions to impulsive problems. We consider a linear Dirichlet problem and the solutions are found as critical points of a functional. We also study the nonlinear Dirichlet impulsive problem. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：680 / 690

页数：11

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