An application of variational method to second-order impulsive differential equation on the half-line

作者：Chen, Haibo; Sun, Juntao^*

来源：Applied Mathematics and Computation, 2010, 217(5): 1863-1869.

DOI：10.1016/j.amc.2010.06.040

• Impulsive differential equation
• Boundary value problem
• Half-line
• Critical points
• Variational method

In this paper, we study the multiplicity of solutions for second-order impulsive differential equation with a parameter on the half-line. By using a variational method and a three critical points theorem, we give some new criteria to guarantee that the impulsive problem has at least three classical solutions. Also an example is given in this paper to illustrate the main results.

• 出版日期2010-11-1
• 单位中南大学