Caratheodory's method for a class of second order differential equations on the half-line

被引：0

作者：

Ji, Shuguan ^{[1
]}

Liu, Zhenxin

Shi, Shaoyun

机构：

[1] Jilin Univ, Inst Math, Changchun 130012, Peoples R China

[2] Jilin Univ, Coll Math, Changchun 130012, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 325卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Caratheodory's method; boundary value problems; calculus of variations; half-line;

D O I：

10.1016/j.jmaa.2006.02.047

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The method of equivalent variational methods, originally due to Caratheodory for free problems in the calculus of variations is extended to investigate boundary value problems for a class of second order differential equations on the half-line. Some applications are presented to illustrate the potential of this method. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：1306 / 1313

页数：8

共 50 条

[31] Existence and global asymptotic behavior of positive solutions for combined second-order differential equations on the half-line
Bachar, Imed
Maagli, Habib
ADVANCES IN NONLINEAR ANALYSIS, 2016, 5 (03) : 205 - 222
[32] Multiple positive solutions of the singular boundary value problems for second-order differential equations on the half-line
Liu, Lishan
Wang, Zenggui
Wu, Yonghong
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (7-8) : 2564 - 2575
[33] Singular and classical second order φ-Laplacian equations on the half-line with functional boundary conditions
Fialho, Joao
Minhos, Feliz
Carrasco, Hugo
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2017, (10) : 1 - 15
[34] Multiple Positive Solutions of the Singular Boundary Value Problem for Second-Order Impulsive Differential Equations on the Half-Line
Xiao, Jing
Nieto, Juan J.
Luo, Zhiguo
BOUNDARY VALUE PROBLEMS, 2010,
[35] New results for perturbed second-order impulsive differential equation on the half-line
Yulin Zhao
Xuebin Wang
Xingguo Liu
Boundary Value Problems, 2014
[36] Existence results for second-order monotone differential inclusions on the positive half-line
Morosanu, G.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 419 (01) : 94 - 113
[37] A coupled system of fractional differential equations on the half-line
Zhai, Chengbo
Ren, Jing
BOUNDARY VALUE PROBLEMS, 2019, 2019 (1)
[38] Singular Nonlinear Problem for Ordinary Differential Equation of the Second-Order on the Half-Line
Rachunkova, Irena
Tomecek, Jan
MATHEMATICAL MODELS IN ENGINEERING, BIOLOGY AND MEDICINE, 2009, 1124 : 294 - 303
[39] New results for perturbed second-order impulsive differential equation on the half-line
Zhao, Yulin
Wang, Xuebin
Liu, Xingguo
BOUNDARY VALUE PROBLEMS, 2014,
[40] Admissibly Stable Manifolds for a Class of Partial Neutral Functional Differential Equations on a Half-line
Thieu Huy Nguyen
Xuan Yen Trinh
TAIWANESE JOURNAL OF MATHEMATICS, 2019, 23 (04): : 897 - 923

← 1 2 3 4 5 →