Variational approach to second-order impulsive dynamic equations on time scales

被引：3
|
作者：
Otero-Espinar, Victoria [1 ]
Pernas-Castano, Tania [1 ,2 ]
机构：
[1] Univ Santiago de Compostela, Dept Anal Matemat, Santiago De Compostela 15782, Galicia, Spain
[2] UCM, UC3M, UAM, Inst Ciencias Matemat,CSIC, Madrid 28049, Spain
来源：
BOUNDARY VALUE PROBLEMS | 2013年
关键词：
impulsive dynamic equations; second-order boundary value problem; variational techniques; critical point theory; time scales; MULTIPLE POSITIVE SOLUTIONS; BOUNDARY-VALUE-PROBLEMS; DEPENDENCE; EXISTENCE; SYSTEMS;
D O I：
10.1186/1687-2770-2013-119
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is to employ variational techniques and critical point theory to prove some conditions for the existence of solutions to a nonlinear impulsive dynamic equation with homogeneous Dirichlet boundary conditions. Also, we are interested in the solutions of the impulsive nonlinear problem with linear derivative dependence satisfying an impulsive condition.
引用
收藏
页数：15
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