Nonlinear Sturm-Liouville Boundary Value Problems for Second Order Hamiltonian Systems with Impulsive Effects
Tingting Hu *
Department of Mathematics, Nanjing Normal University, Nanjing 210097, P. R. China.
*Author to whom correspondence should be addressed.
Abstract
We investigate nontrivial solutions for nonlinear Sturm-Liouville boundary value problems of second order Hamiltonian systems with impulsive effects and we obtain some new results.
Keywords: Sturm-Liouville boundary value problems, second order Hamiltonian system, impulsive effects, index theory.