Multiple solutions of second order Hamiltonian systems

Roberto Livrea; Martin Schechter; Roberto Livrea; Gabriele Bonanno

Multiple solutions of second order Hamiltonian systems

Roberto Livrea, Martin Schechter, Roberto Livrea, Gabriele Bonanno

Matematica e Informatica

Risultato della ricerca: Article › peer review

4 Citazioni (Scopus)

Abstract

The existence and the multiplicity of periodic solutions for a parameter dependent second order Hamiltonian system are established via linking theorems. A monotonicity trick is adopted in order to prove the existence of an open interval of parameters for which the problem under consideration admits at least two non trivial qualified solutions.

Lingua originale	English
pagine (da-a)	1-15
Numero di pagine	15
Rivista	ELECTRONIC JOURNAL ON THE QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS
Volume	2017
Stato di pubblicazione	Published - 2017

All Science Journal Classification (ASJC) codes

Applied Mathematics

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title = "Multiple solutions of second order Hamiltonian systems",

abstract = "The existence and the multiplicity of periodic solutions for a parameter dependent second order Hamiltonian system are established via linking theorems. A monotonicity trick is adopted in order to prove the existence of an open interval of parameters for which the problem under consideration admits at least two non trivial qualified solutions.",

keywords = "Critical points, Periodic solutions, Second order Hamiltonian systems, Critical points, Periodic solutions, Second order Hamiltonian systems",

author = "Roberto Livrea and Martin Schechter and Roberto Livrea and Gabriele Bonanno",

year = "2017",

language = "English",

volume = "2017",

pages = "1--15",

journal = "Electronic Journal of Qualitative Theory of Differential Equations",

issn = "1417-3875",

publisher = "University of Szeged",

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TY - JOUR

T1 - Multiple solutions of second order Hamiltonian systems

AU - Livrea, Roberto

AU - Schechter, Martin

AU - Livrea, Roberto

AU - Bonanno, Gabriele

PY - 2017

Y1 - 2017

N2 - The existence and the multiplicity of periodic solutions for a parameter dependent second order Hamiltonian system are established via linking theorems. A monotonicity trick is adopted in order to prove the existence of an open interval of parameters for which the problem under consideration admits at least two non trivial qualified solutions.

AB - The existence and the multiplicity of periodic solutions for a parameter dependent second order Hamiltonian system are established via linking theorems. A monotonicity trick is adopted in order to prove the existence of an open interval of parameters for which the problem under consideration admits at least two non trivial qualified solutions.

KW - Critical points

KW - Periodic solutions

KW - Second order Hamiltonian systems

KW - Critical points

KW - Periodic solutions

KW - Second order Hamiltonian systems

UR - http://hdl.handle.net/10447/258615

UR - http://www.math.u-szeged.hu/ejqtde/p5401.pdf

M3 - Article

VL - 2017

SP - 1

EP - 15

JO - Electronic Journal of Qualitative Theory of Differential Equations

JF - Electronic Journal of Qualitative Theory of Differential Equations

SN - 1417-3875

ER -