Homoclinic orbits for a singular second-order neutral differential equation

被引：36

作者：

Guo, Chengjun ^{[2
]}

O'Regan, Donal ^{[3
]}

Xu, Yuantong ^{[4
]}

Agarwal, Ravi P. ^{[1
]}

机构：

[1] Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA

[2] Guangdong Univ Technol, Sch Appl Math, Guangzhou 510006, Guangdong, Peoples R China

[3] Natl Univ Ireland, Dept Math, Galway, Ireland

[4] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 366卷 / 02期

关键词：

Homoclinic orbit; Neutral differential equations; Singular function; Critical point; Minimax argument; HAMILTONIAN-SYSTEMS; PERIODIC-SOLUTIONS; DELAY EQUATIONS; EXISTENCE;

D O I：

10.1016/j.jmaa.2009.12.038

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using critical point theory and an approximation method, we study the existence of homoclinic orbits for a singular second-order neutral differential difference equations. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：550 / 560

页数：11

共 50 条

[41] Homoclinic orbits for a class of singular second order Hamiltonian systems in a"e3
Janczewska, Joanna
Maksymiuk, Jakub
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2012, 10 (06): : 1920 - 1927
[42] Homoclinic solutions for a class of subquadratic second-order Hamiltonian systems
Sun, Juntao
Chen, Haibo
Nieto, Juan J.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 373 (01) : 20 - 29
[43] Sharp conditions for the existence of positive solutions for a second-order singular impulsive differential equation
Zhang, Xuemei
Tian, Yafang
APPLICABLE ANALYSIS, 2022, 101 (01) : 1 - 13
[44] Positive Homoclinic orbits for a class of asymptotically periodic second order differential equations
Wang W.
Wu S.
Applied Mathematics-A Journal of Chinese Universities, 2002, 17 (1) : 7 - 12
[45] POSITIVE HOMOCLINIC ORBITS FOR A CLASS OF ASYMPTOTICALLY PERIODIC SECOND ORDER DIFFERENTIAL EQUATIONS
Wang Weimin 1
AppliedMathematics:AJournalofChineseUniversities, 2002, (01) : 7 - 12
[46] On a class of singular second-order Hamiltonian systems with infinitely many homoclinic solutions
Costa, David G.
Tehrani, Hossein
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 412 (01) : 200 - 211
[47] Homoclinic orbits of second order nonlinear functional difference equations with Jacobi operators
Liu, Xia
Zhang, Yuanbiao
Shi, Haiping
INDAGATIONES MATHEMATICAE-NEW SERIES, 2015, 26 (01): : 75 - 87
[48] Controllability of a Second-Order Impulsive Neutral Differential Equation via Resolvent Operator Technique
Afreen, Asma
Raheem, Abdur
Khatoon, Areefa
SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2020, 48 (03) : 297 - 310
[49] Limit cycles of a second-order differential equation
Chen, Ting
Llibre, Jaume
APPLIED MATHEMATICS LETTERS, 2019, 88 : 111 - 117
[50] EXISTENCE OF HOMOCLINIC ORBITS OF A CLASS OF SECOND-ORDER QUASILINEAR SCHRÖDINGER EQUATIONS WITH DELAY
Guo, Chengjun
Chen, Baili
Liu, Junming
Agarwal, Ravi p.
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2023, 53 (05) : 1489 - 1509

← 1 2 3 4 5 →