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

Boundary value problems

Victoria Otero-Espinar¹  Tania Pernas-Castao² 

[1] Departamento de Análise Matemática, Universidade de Santiago de Compostela, Santiago de Compostela, Spain

关键词: impulsive dynamic equations;    second-order boundary value problem;    variational techniques;    critical point theory;    time scales;   

DOI  :  10.1186/1687-2770-2013-119

学科分类：数学（综合）

来源: SpringerOpen

【 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. MSC:34B37, 34N05.

【 授权许可】

CC BY