On the Impulsive Boundary Value Problems for Nonlinear Hamiltonian Systems
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Date
2016
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Publisher
Wiley
Open Access Color
Green Open Access
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Abstract
In this work, we deal with two-point boundary value problems for nonlinear impulsive Hamiltonian systems with sub-linear or linear growth. A theorem based on the Schauder fixed point theorem is established, which gives a result that yields existence of solutions without implications that solutions must be unique. An upper bound for the solution is also established. Examples are given to illustrate the main result. Copyright (C) 2016 John Wiley & Sons, Ltd.
Description
Keywords
impulsive Hamiltonian system, eigenvalue, completely continuous operator, Schauder fixed point thorem, Boundary value problems with impulses for ordinary differential equations, Nonlinear boundary value problems for ordinary differential equations, Applications of operator theory to differential and integral equations, impulsive Hamiltonian system, completely continuous operator, eigenvalue, Periodic, homoclinic and heteroclinic orbits; variational methods, degree-theoretic methods, Schauder fixed point thorem
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Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
6
Source
Mathematical Methods in the Applied Sciences
Volume
39
Issue
15
Start Page
4496
End Page
4503
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Scopus : 7
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