Existence of homoclinic orbits of superquadratic second-order Hamiltonian systems

Chengjun Guo; Donal O'Regan; Chengjiang Wang; Ravi P. Agarwal

doi:10.4171/ZAA/1527

Existence of homoclinic orbits of superquadratic second-order Hamiltonian systems

Chengjun Guo
, Donal O'Regan
, Chengjiang Wang
, Ravi P. Agarwal

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

19 Citations (Scopus)

Abstract

Using critical point theory, we study the existence of homoclinic orbits for the second-order Hamiltonian system z - K_z(t, z) + V_z(t, z) = h(t); where V (t; z) depends periodically on t and is superquadratic.

Original language	English
Pages (from-to)	27-41
Number of pages	15
Journal	Zeitschrift für Analysis und ihre Anwendungen
Volume	34
Issue number	1
DOIs	https://doi.org/10.4171/ZAA/1527
Publication status	Published - 1 Jan 2015

Keywords

Critical point theory
Hamiltonian system
Homoclinic orbit

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Guo, CJ,O'Regan, D,Wang, CJ,Agarwal, RP

Access to Document

10.4171/ZAA/1527

Cite this

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title = "Existence of homoclinic orbits of superquadratic second-order Hamiltonian systems",

abstract = "Using critical point theory, we study the existence of homoclinic orbits for the second-order Hamiltonian system z - Kz(t, z) + Vz(t, z) = h(t); where V (t; z) depends periodically on t and is superquadratic.",

keywords = "Critical point theory, Hamiltonian system, Homoclinic orbit",

author = "Chengjun Guo and Donal O'Regan and Chengjiang Wang and Agarwal, \{Ravi P.\}",

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AU - O'Regan, Donal

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AU - Agarwal, Ravi P.

PY - 2015/1/1

Y1 - 2015/1/1

N2 - Using critical point theory, we study the existence of homoclinic orbits for the second-order Hamiltonian system z - Kz(t, z) + Vz(t, z) = h(t); where V (t; z) depends periodically on t and is superquadratic.

AB - Using critical point theory, we study the existence of homoclinic orbits for the second-order Hamiltonian system z - Kz(t, z) + Vz(t, z) = h(t); where V (t; z) depends periodically on t and is superquadratic.

KW - Critical point theory

KW - Hamiltonian system

KW - Homoclinic orbit

UR - https://www.scopus.com/pages/publications/84920627192

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DO - 10.4171/ZAA/1527

M3 - Article

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JO - Zeitschrift für Analysis und ihre Anwendungen

JF - Zeitschrift für Analysis und ihre Anwendungen

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ER -

Existence of homoclinic orbits of superquadratic second-order Hamiltonian systems

Abstract

Keywords

Authors (Note for portal: view the doc link for the full list of authors)

Access to Document

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