Impulsive Boundary Value Problems for Planar Hamiltonian Systems

Zeynep Kayar and Ağacık Zafer

Abstract and Applied Analysis, 2013, vol. 2013, 1-6

Abstract:

We give an existence and uniqueness theorem for solutions of inhomogeneous impulsive boundary value problem (BVP) for planar Hamiltonian systems. Green's function that is needed for representing the solutions is obtained and its properties are listed. The uniqueness of solutions is connected to a Lyapunov type inequality for the corresponding homogeneous BVP.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:892475

DOI: 10.1155/2013/892475

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