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

^*此作品的通讯作者

数学科学学院

Shanghai Jiao Tong University

科研成果: 期刊稿件 › 文章 › 同行评审

2 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	755-767
页数	13
期刊	Nonlinear Analysis, Theory, Methods and Applications
卷	52
期	3
DOI	https://doi.org/10.1016/S0362-546X(02)00131-1
出版状态	已出版 - 3月 2002

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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",

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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

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