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Multiplicity of solutions for nonlinear second order impulsive differential equations with linear derivative dependence via variational methods |
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| Authors: | Jing Xiao |
| Institution: | a Department of Mathematics, Hunan Normal University, Changsha, Hunan 410081, China b Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Santiago de Compostela, 15782 Santiago de Compostela, Spain |
| Abstract: | This paper uses critical point theory and variational methods to investigate the multiple solutions of boundary value problems for second order impulsive differential equations. The conditions for the existence of multiple solutions are established. An example is constructed to illustrate the proposed result. |
| Keywords: | Boundary value problem with impulses Critical point theory Variational methods |
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