Variational Method to the Impulsive Equation with Neumann Boundary Conditions

被引：0
作者：
Juntao Sun
Haibo Chen
机构：
[1] Central South University,Department of Mathematics
来源：
Boundary Value Problems | / 2009卷
关键词：
Variational Method; Classical Solution; Lower Semicontinuous; Neumann Boundary Condition; Real Banach Space;
D O I：
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摘要：
We study the existence and multiplicity of classical solutions for second-order impulsive Sturm-Liouville equation with Neumann boundary conditions. By using the variational method and critical point theory, we give some new criteria to guarantee that the impulsive problem has at least one solution, two solutions, and infinitely many solutions under some different conditions, respectively. Some examples are also given in this paper to illustrate the main results.
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