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On the impulsive boundary value problems for nonlinear Hamiltonian systems
Author(s) -
Guseinov Gusein Sh.
Publication year - 2016
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3877
Subject(s) - mathematics , boundary value problem , fixed point theorem , hamiltonian system , nonlinear system , hamiltonian (control theory) , schauder fixed point theorem , mathematical analysis , boundary values , upper and lower bounds , picard–lindelöf theorem , mathematical optimization , physics , quantum mechanics
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 © 2016 John Wiley & Sons, Ltd.