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Impulsive Boundary Value Problems for Planar Hamiltonian Systems
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Date
2013-01-01
Author
Kayar, Zeynep
Zafer, Ağacık
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This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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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.
Subject Keywords
ORDINARY DIFFERENTIAL-EQUATIONS
,
LYAPUNOV INEQUALITIES
,
STABILITY-CRITERIA
,
PERIODIC PROBLEMS
,
1ST-ORDER
URI
https://hdl.handle.net/11511/57600
Journal
ABSTRACT AND APPLIED ANALYSIS
DOI
https://doi.org/10.1155/2013/892475
Collections
Department of Mathematics, Article