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.
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收藏
页数：15
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