Multiplicity of positive periodic solutions to second order differential equations

Jifeng Chu; Xiaoning Lin; Daqing Jiang; Donal O'Regan; R. P. Agarwal

doi:10.1017/s0004972700038764

Multiplicity of positive periodic solutions to second order differential equations

Jifeng Chu
, Xiaoning Lin
, Daqing Jiang
, Donal O'Regan
, R. P. Agarwal

Mathematics

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

24 Citations (Scopus)

Abstract

In this paper, we study the existence of positive periodic solutions to the equation x″ = f(t,x). It is proved that such a equation has more than one positive periodic solution when the nonlinearity changes sign. The proof relies on a fixed point theorem in cones. Copyright Clearance Centre, Inc.

Original language	English
Pages (from-to)	175-182
Number of pages	8
Journal	Bulletin of the Australian Mathematical Society
Volume	73
Issue number	2
DOIs	https://doi.org/10.1017/s0004972700038764
Publication status	Published - Apr 2006

Access to Document

10.1017/s0004972700038764

Cite this

@article{2973037a57014654bc49eff1f9789795,

title = "Multiplicity of positive periodic solutions to second order differential equations",

abstract = "In this paper, we study the existence of positive periodic solutions to the equation x″ = f(t,x). It is proved that such a equation has more than one positive periodic solution when the nonlinearity changes sign. The proof relies on a fixed point theorem in cones. Copyright Clearance Centre, Inc.",

author = "Jifeng Chu and Xiaoning Lin and Daqing Jiang and Donal O'Regan and Agarwal, \{R. P.\}",

year = "2006",

month = apr,

doi = "10.1017/s0004972700038764",

language = "English",

volume = "73",

pages = "175--182",

journal = "Bulletin of the Australian Mathematical Society",

issn = "0004-9727",

publisher = "Cambridge University Press",

number = "2",

}

TY - JOUR

T1 - Multiplicity of positive periodic solutions to second order differential equations

AU - Chu, Jifeng

AU - Lin, Xiaoning

AU - Jiang, Daqing

AU - O'Regan, Donal

AU - Agarwal, R. P.

PY - 2006/4

Y1 - 2006/4

N2 - In this paper, we study the existence of positive periodic solutions to the equation x″ = f(t,x). It is proved that such a equation has more than one positive periodic solution when the nonlinearity changes sign. The proof relies on a fixed point theorem in cones. Copyright Clearance Centre, Inc.

AB - In this paper, we study the existence of positive periodic solutions to the equation x″ = f(t,x). It is proved that such a equation has more than one positive periodic solution when the nonlinearity changes sign. The proof relies on a fixed point theorem in cones. Copyright Clearance Centre, Inc.

UR - https://www.scopus.com/pages/publications/33646394064

U2 - 10.1017/s0004972700038764

DO - 10.1017/s0004972700038764

M3 - Article

SN - 0004-9727

VL - 73

SP - 175

EP - 182

JO - Bulletin of the Australian Mathematical Society

JF - Bulletin of the Australian Mathematical Society

IS - 2

ER -

Multiplicity of positive periodic solutions to second order differential equations

Abstract

Access to Document

Other files and links

Fingerprint

Cite this