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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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