Impulsive periodic solutions for singular problems via variational methods

Juntao Sun; Donal O'Regan

doi:10.1017/S0004972711003509

Impulsive periodic solutions for singular problems via variational methods

Juntao Sun, Donal O'Regan

Mathematics

Shandong University of Technology

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

17 Citations (Scopus)

Abstract

In this paper we study impulsive periodic solutions for second-order nonautonomous singular differential equations. Our proof is based on the mountain pass theorem. Some recent results in the literature are extended.

Original language	English
Pages (from-to)	193-204
Number of pages	12
Journal	Bulletin of the Australian Mathematical Society
Volume	86
Issue number	2
DOIs	https://doi.org/10.1017/S0004972711003509
Publication status	Published - 1 Oct 2012

Keywords

Periodic solutions
impulse
mountain pass theorem
singular problems
variational methods

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

Authors
Sung, JT,O'Regan, D

Access to Document

10.1017/S0004972711003509

Cite this

@article{cfb8e61ea50648709e72369e90df37e7,

title = "Impulsive periodic solutions for singular problems via variational methods",

abstract = "In this paper we study impulsive periodic solutions for second-order nonautonomous singular differential equations. Our proof is based on the mountain pass theorem. Some recent results in the literature are extended.",

keywords = "Periodic solutions, impulse, mountain pass theorem, singular problems, variational methods",

author = "Juntao Sun and Donal O'Regan",

year = "2012",

month = oct,

day = "1",

doi = "10.1017/S0004972711003509",

language = "English",

volume = "86",

pages = "193--204",

journal = "Bulletin of the Australian Mathematical Society",

issn = "0004-9727",

number = "2",

}

TY - JOUR

T1 - Impulsive periodic solutions for singular problems via variational methods

AU - Sun, Juntao

AU - O'Regan, Donal

PY - 2012/10/1

Y1 - 2012/10/1

N2 - In this paper we study impulsive periodic solutions for second-order nonautonomous singular differential equations. Our proof is based on the mountain pass theorem. Some recent results in the literature are extended.

AB - In this paper we study impulsive periodic solutions for second-order nonautonomous singular differential equations. Our proof is based on the mountain pass theorem. Some recent results in the literature are extended.

KW - Periodic solutions

KW - impulse

KW - mountain pass theorem

KW - singular problems

KW - variational methods

UR - http://www.scopus.com/inward/record.url?scp=84866044250&partnerID=8YFLogxK

U2 - 10.1017/S0004972711003509

DO - 10.1017/S0004972711003509

M3 - Article

SN - 0004-9727

VL - 86

SP - 193

EP - 204

JO - Bulletin of the Australian Mathematical Society

JF - Bulletin of the Australian Mathematical Society

IS - 2

ER -

Impulsive periodic solutions for singular problems via variational methods

Abstract

Keywords

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

Access to Document

Other files and links

Fingerprint

Cite this