Multiplicity of solutions for nonlinear impulsive differential equations with Dirichlet boundary conditions

作者：Zhou, Chenxing; Miao, Fenghua; Liang, Sihua^*

来源：Boundary Value Problems, 2013, 2013(1): 200.

DOI：10.1186/1687-2770-2013-200

• impulsive effects
• variational methods
• Dirichlet boundary value problem
• critical points

In this paper, we consider the existence of solutions for nonlinear impulsive differential equations with Dirichlet boundary conditions. Infinitely many solutions are obtained by using a version of the symmetric mountain-pass theorem, and this sequence of solutions converge to zero. Some recent results are extended.
MSC: 34B37, 35B38.

• 出版日期2013-9-5
• 单位吉林大学; 长春师范大学