Impulsive Boundary Value Problems for Planar Hamiltonian Systems
Author(s) -
Zeynep Kayar,
A. Zafer
Publication year - 2013
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2013/892475
Subject(s) - mathematics , uniqueness , planar , boundary value problem , hamiltonian system , uniqueness theorem for poisson's equation , lyapunov function , homogeneous , mathematical analysis , hamiltonian (control theory) , pure mathematics , combinatorics , mathematical optimization , nonlinear system , computer graphics (images) , physics , quantum mechanics , computer science
We give an existence and uniqueness theorem for solutions of inhomogeneousimpulsive boundary value problem (BVP) for planar Hamiltonian systems. Green'sfunction 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 correspondinghomogeneous BVP
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