PERIODIC SOLUTIONS OF SUPERQUADRATIC NONAUTONOMOUS DIFFERENTIAL SYSTEMS WITH A DELAY

Donal O'Regan

PERIODIC SOLUTIONS OF SUPERQUADRATIC NONAUTONOMOUS DIFFERENTIAL SYSTEMS WITH A DELAY

Mathematics

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

Abstract

The nonautonomous delay differential systemx(t) = f(t, x(t - tau)),is considered, where tau 0, f : R x R-n - R-n is a continuous vector function such thatf(t + 4 tau, x) = f(t, x), f(t, x) = del F-x(t, x).Using the critical point theory, the conditions ensuring the existence of a nontrivial 4 tau-periodic solution of that system are established in the case, where F(t, x) is superquadratic in x.

Original language	English (Ireland)
Pages (from-to)	123-141
Number of pages	19
Journal	Memoirs On Differential Equations And Mathematical Physics
Volume	64
Publication status	Published - 1 Dec 2015

Keywords

Critical point theory
Delay differential equations
Linking theorem
Superquadratic growth condition

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

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

Cite this

@article{e9903d615ced4fefa838c0accad2edd8,

title = "PERIODIC SOLUTIONS OF SUPERQUADRATIC NONAUTONOMOUS DIFFERENTIAL SYSTEMS WITH A DELAY",

abstract = "The nonautonomous delay differential systemx(t) = f(t, x(t - tau)),is considered, where tau 0, f : R x R-n - R-n is a continuous vector function such thatf(t + 4 tau, x) = f(t, x), f(t, x) = del F-x(t, x).Using the critical point theory, the conditions ensuring the existence of a nontrivial 4 tau-periodic solution of that system are established in the case, where F(t, x) is superquadratic in x.",

keywords = "Critical point theory, Delay differential equations, Linking theorem, Superquadratic growth condition",

author = "Donal O'Regan",

year = "2015",

month = dec,

day = "1",

language = "English (Ireland)",

volume = "64",

pages = "123--141",

journal = "Memoirs On Differential Equations And Mathematical Physics",

}

TY - JOUR

T1 - PERIODIC SOLUTIONS OF SUPERQUADRATIC NONAUTONOMOUS DIFFERENTIAL SYSTEMS WITH A DELAY

AU - O'Regan, Donal

PY - 2015/12/1

Y1 - 2015/12/1

N2 - The nonautonomous delay differential systemx(t) = f(t, x(t - tau)),is considered, where tau 0, f : R x R-n - R-n is a continuous vector function such thatf(t + 4 tau, x) = f(t, x), f(t, x) = del F-x(t, x).Using the critical point theory, the conditions ensuring the existence of a nontrivial 4 tau-periodic solution of that system are established in the case, where F(t, x) is superquadratic in x.

AB - The nonautonomous delay differential systemx(t) = f(t, x(t - tau)),is considered, where tau 0, f : R x R-n - R-n is a continuous vector function such thatf(t + 4 tau, x) = f(t, x), f(t, x) = del F-x(t, x).Using the critical point theory, the conditions ensuring the existence of a nontrivial 4 tau-periodic solution of that system are established in the case, where F(t, x) is superquadratic in x.

KW - Critical point theory

KW - Delay differential equations

KW - Linking theorem

KW - Superquadratic growth condition

UR - https://www.scopus.com/pages/publications/84924629734

M3 - Article

VL - 64

SP - 123

EP - 141

JO - Memoirs On Differential Equations And Mathematical Physics

JF - Memoirs On Differential Equations And Mathematical Physics

ER -

PERIODIC SOLUTIONS OF SUPERQUADRATIC NONAUTONOMOUS DIFFERENTIAL SYSTEMS WITH A DELAY

Abstract

Keywords

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

Other files and links

Fingerprint

Cite this