2 research outputs found
Impulsive Boundary Value Problems for Planar Hamiltonian Systems
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