Existence of homoclinic solutions for a fourth order differential equation with a parameter

被引：19

作者：

Li, Tiexiang ^{[1
]}

Sun, Juntao ^{[2
]}

Wu, Tsung-Fang ^{[3
]}

机构：

[1] Southeast Univ, Dept Math, Nanjing 211189, Jiangsu, Peoples R China

[2] Sharif Univ Technol, Sch Sci, Zibo 255049, Peoples R China

[3] Univ KwaZulu Natal, Dept Appl Math, Kaohsiung 811, Taiwan

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 251卷

关键词：

Fourth order differential equations; Homoclinic solutions; Mountain pass theorem; Variational methods; SWIFT-HOHENBERG; SYSTEMS;

D O I：

10.1016/j.amc.2014.11.056

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence of homoclinic solutions for a class of fourth order differential equations. By using variational methods, the existence and the non-existence of nontrivial homoclinic solutions are obtained, depending on a parameter. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：499 / 506

页数：8

共 50 条

[21] EXISTENCE OF POSITIVE SOLUTIONS FOR A PERTUBED FOURTH-ORDER EQUATION
Tavani, Mohammad Reza Heidari
Nazari, Abdollah
KRAGUJEVAC JOURNAL OF MATHEMATICS, 2021, 45 (04): : 623 - 633
[22] Existence of homoclinic solutions for second order Hamiltonian systems with general potentials
Zhang Z.
Zhang, Z. (zhzh@mail.bnu.edu.cn), 1600, Springer Verlag (44): : 263 - 272
[23] Existence and multiplicity of solutions for a fourth-order elliptic equation
Fanglei Wang
Yukun An
Boundary Value Problems, 2012
[24] On the existence of periodic solutions to a fourth-order p-Laplacian differential equation with a deviating argument
Wang, Zhengxin
Qian, Longxia
Lu, Shiping
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (03) : 1660 - 1669
[25] EXISTENCE AND MULTIPLICITY OF HOMOCLINIC SOLUTIONS FOR A DIFFERENCE EQUATION
Heidarkhani, Shapour
Gharehgazlouei, Fariba
Imbesi, Maurizio
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2020,
[26] Existence and uniqueness of positive even homoclinic solutions for second order differential equations
Daouas, Adel
Boujlida, Monia
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2019, (45) : 1 - 12
[27] Existence of two homoclinic solutions for a nonperiodic difference equation with a perturbation
Long, Yuhua
AIMS MATHEMATICS, 2021, 6 (05): : 4786 - 4802
[28] Ground State Homoclinic Solutions for a Class of Superquadratic Fourth-Order Differential Equations
Timoumi, Mohsen
DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2024, 32 (02) : 401 - 420
[29] Ground State Homoclinic Solutions for a Class of Superquadratic Fourth-Order Differential Equations
Mohsen Timoumi
Differential Equations and Dynamical Systems, 2024, 32 : 401 - 420
[30] Concentration of homoclinic solutions for some fourth-order equations with sublinear indefinite nonlinearities
Sun, Juntao
Wu, Tsung-fang
Li, Feng
APPLIED MATHEMATICS LETTERS, 2014, 38 : 1 - 6

← 1 2 3 4 5 →