Periodic solutions to non-autonomous second-order systems

Haiyan Wang

doi:10.1016/j.na.2008.11.079

Periodic solutions to non-autonomous second-order systems

Haiyan Wang

Mathematical and Natural Sciences, School of (SMNS)

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

We establish the existence of periodic solution of a class of non-autonomous second-order systems, over(x, ̈) + μ x + V (t, x) = 0, where V (t, x) = (v₁ (t, x), ..., v_n (t, x)), if lim_{| x | → ∞} frac(v_i (t, x), | x |) = 0, i = 1, ..., n, uniformly in t and V is bounded below or above for appropriate ranges of μ.

Original language	English (US)
Pages (from-to)	1271-1275
Number of pages	5
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	71
Issue number	3-4
DOIs	https://doi.org/10.1016/j.na.2008.11.079
State	Published - Aug 1 2009

Keywords

Cone
Fixed point theorem
Non-autonomous system
Periodic solutions

ASJC Scopus subject areas

Analysis
Applied Mathematics

Access to Document

10.1016/j.na.2008.11.079

Cite this

@article{912972cd1c3d4d539e0b2b4b72332e1e,

title = "Periodic solutions to non-autonomous second-order systems",

abstract = "We establish the existence of periodic solution of a class of non-autonomous second-order systems, over(x,{\" }) + μ x + V (t, x) = 0, where V (t, x) = (v1 (t, x), ..., vn (t, x)), if lim| x | → ∞ frac(vi (t, x), | x |) = 0, i = 1, ..., n, uniformly in t and V is bounded below or above for appropriate ranges of μ.",

keywords = "Cone, Fixed point theorem, Non-autonomous system, Periodic solutions",

author = "Haiyan Wang",

year = "2009",

month = aug,

day = "1",

doi = "10.1016/j.na.2008.11.079",

language = "English (US)",

volume = "71",

pages = "1271--1275",

journal = "Nonlinear Analysis, Theory, Methods and Applications",

issn = "0362-546X",

publisher = "Elsevier Limited",

number = "3-4",

}

TY - JOUR

T1 - Periodic solutions to non-autonomous second-order systems

AU - Wang, Haiyan

PY - 2009/8/1

Y1 - 2009/8/1

N2 - We establish the existence of periodic solution of a class of non-autonomous second-order systems, over(x, ̈) + μ x + V (t, x) = 0, where V (t, x) = (v1 (t, x), ..., vn (t, x)), if lim| x | → ∞ frac(vi (t, x), | x |) = 0, i = 1, ..., n, uniformly in t and V is bounded below or above for appropriate ranges of μ.

AB - We establish the existence of periodic solution of a class of non-autonomous second-order systems, over(x, ̈) + μ x + V (t, x) = 0, where V (t, x) = (v1 (t, x), ..., vn (t, x)), if lim| x | → ∞ frac(vi (t, x), | x |) = 0, i = 1, ..., n, uniformly in t and V is bounded below or above for appropriate ranges of μ.

KW - Cone

KW - Fixed point theorem

KW - Non-autonomous system

KW - Periodic solutions

UR - http://www.scopus.com/inward/record.url?scp=67349167989&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=67349167989&partnerID=8YFLogxK

U2 - 10.1016/j.na.2008.11.079

DO - 10.1016/j.na.2008.11.079

M3 - Article

AN - SCOPUS:67349167989

SN - 0362-546X

VL - 71

SP - 1271

EP - 1275

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 3-4

ER -

Periodic solutions to non-autonomous second-order systems

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this