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Kayar, Zeynep; Zafer, Ağacık

Impulsive boundary value problems for planar Hamiltonian systems. (English) Zbl 1470.34078

Abstr. Appl. Anal. 2013, Article ID 892475, 6 p. (2013).
Summary: 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.

MSC:

34B37 Boundary value problems with impulses for ordinary differential equations
37J25 Stability problems for finite-dimensional Hamiltonian and Lagrangian systems
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