Boundary Value Problems for Nonlinear Impulsive Hamiltonian Systems
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HYBRID
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Abstract
We study two point boundary value problems for nonlinear impulsive Hamiltonian systems. Spectral analysis of the corresponding linear impulsive Hamiltonian system and a fixed point theorem are employed to obtain an existence and uniqueness result for solutions of the nonlinear problem. Two examples are given in which the main condition is made explicit. (C) 2013 Elsevier B.V. All rights reserved.
Description
Keywords
Hamiltonian system, Impulse conditions, Boundary conditions, Eigenvalue, Expansion in eigenfunctions, Fixed point theorem, Boundary value problems with impulses for ordinary differential equations, Applications of operator theory to differential and integral equations, impulse conditions, boundary conditions, eigenvalue, expansion in eigenfunctions, fixed point theorem, Hamiltonian system, Periodic, homoclinic and heteroclinic orbits; variational methods, degree-theoretic methods
Fields of Science
0101 mathematics, 01 natural sciences
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Scopus Q
OpenCitations Citation Count
11
Volume
259
Issue
PART B
Start Page
780
End Page
789
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CrossRef : 2
Scopus : 12
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SCOPUS™ Citations
12
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12
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1
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