Multiplicity of solutions for a class of impulsive differential equations with Dirichlet boundary conditions via variant fountain theorems

作者：Sun, Juntao^*; Chen, Haibo

来源：Nonlinear Analysis: Real World Applications , 2010, 11(5): 4062-4071.

DOI：10.1016/j.nonrwa.2010.03.012

• Impulsive differential equations
• Critical point
• Variational method
• Variant fountain theorems

In this paper, we study the existence of infinitely many classical solutions for a class of second-order impulsive differential equations. By using two new fountain theorems, we deal with two cases: that when the nonlinearity is superlinear and that when it is asymptotically linear at infinity. Some recent results are extended and improved.

• 出版日期2010-10
• 单位中南大学