Periodic solutions for differential equations at resonance with unbounded nonlinearities

Xianlong Fu; Shunian Zhang

doi:10.1016/S0362-546X(02)00131-1

Periodic solutions for differential equations at resonance with unbounded nonlinearities

Xianlong Fu^*, Shunian Zhang

^*Corresponding author for this work

School of Mathematical Sciences

Shanghai Jiao Tong University

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

2 Scopus citations

Abstract

Periodic solutions for differential equations at resonance with unbounded nonlinearities were discussed. Nonlinear system of first-order functional differential equations of mixed type was considered. Results showed sufficient conditions for the existence of periodic solutions of nonlinear coupled differential systems and Duffing equations at resonance with unbounded nonlinearities.

Original language	English
Pages (from-to)	755-767
Number of pages	13
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	52
Issue number	3
DOIs	https://doi.org/10.1016/S0362-546X(02)00131-1
State	Published - Mar 2002

Keywords

Brouwer degree
Coincidence degree
Duffing equations
Periodic solutions
Resonance

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10.1016/S0362-546X(02)00131-1

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title = "Periodic solutions for differential equations at resonance with unbounded nonlinearities",

abstract = "Periodic solutions for differential equations at resonance with unbounded nonlinearities were discussed. Nonlinear system of first-order functional differential equations of mixed type was considered. Results showed sufficient conditions for the existence of periodic solutions of nonlinear coupled differential systems and Duffing equations at resonance with unbounded nonlinearities.",

keywords = "Brouwer degree, Coincidence degree, Duffing equations, Periodic solutions, Resonance",

author = "Xianlong Fu and Shunian Zhang",

year = "2002",

month = mar,

doi = "10.1016/S0362-546X(02)00131-1",

language = "英语",

volume = "52",

pages = "755--767",

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

issn = "0362-546X",

publisher = "Elsevier Ltd",

number = "3",

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TY - JOUR

T1 - Periodic solutions for differential equations at resonance with unbounded nonlinearities

AU - Fu, Xianlong

AU - Zhang, Shunian

PY - 2002/3

Y1 - 2002/3

N2 - Periodic solutions for differential equations at resonance with unbounded nonlinearities were discussed. Nonlinear system of first-order functional differential equations of mixed type was considered. Results showed sufficient conditions for the existence of periodic solutions of nonlinear coupled differential systems and Duffing equations at resonance with unbounded nonlinearities.

AB - Periodic solutions for differential equations at resonance with unbounded nonlinearities were discussed. Nonlinear system of first-order functional differential equations of mixed type was considered. Results showed sufficient conditions for the existence of periodic solutions of nonlinear coupled differential systems and Duffing equations at resonance with unbounded nonlinearities.

KW - Brouwer degree

KW - Coincidence degree

KW - Duffing equations

KW - Periodic solutions

KW - Resonance

UR - https://www.scopus.com/pages/publications/0037210350

U2 - 10.1016/S0362-546X(02)00131-1

DO - 10.1016/S0362-546X(02)00131-1

M3 - 文章

AN - SCOPUS:0037210350

SN - 0362-546X

VL - 52

SP - 755

EP - 767

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 3

ER -

Periodic solutions for differential equations at resonance with unbounded nonlinearities

Abstract

Keywords

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