Multiple solutions of boundary-value problems for Hamiltonian systems

We consider two-point boundary-value problems for Hamiltonian system of the form x' = f(k, y), y' = g(x, λ), where k and λ are parameters. We estimate the number of solutions, both positive and oscillatory, for the boundary-value problems. Our main tool is the phase plane analysis combined...

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Bibliographic Details
Date:2017
Main Author: Kirichuka, A.
Format: Article
Language:English
Published: Інститут математики НАН України 2017
Series:Нелінійні коливання
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/177301
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Multiple solutions of boundary-value problems for Hamiltonian systems / A. Kirichuka // Нелінійні коливання. — 2017. — Т. 20, № 2. — С. 184-197 — Бібліогр.: 14 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine