Boundary value problems for nonlinear impulsive Hamiltonian systems

作者：

Highlights：

• A nonlinear impulsive Hamiltonian system is studied.

• An existence and uniqueness result is established.

• Examples are given to illustrate the main result.

• Spectral analysis is provided for the associated eigenvalue problem.

摘要

•A nonlinear impulsive Hamiltonian system is studied.•An existence and uniqueness result is established.•Examples are given to illustrate the main result.•Spectral analysis is provided for the associated eigenvalue problem.

论文关键词：34B15,34B37,Hamiltonian system,Impulse conditions,Boundary conditions,Eigenvalue,Expansion in eigenfunctions,Fixed point theorem

论文评审过程：Received 13 January 2013, Revised 16 June 2013, Available online 29 June 2013.

论文官网地址：https://doi.org/10.1016/j.cam.2013.06.034