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

[41] Positive Solutions for a Class of Fourth-order Singular BVPs on the Positive Half-line
Djebali, Smail
Saifi, Ouiza
THAI JOURNAL OF MATHEMATICS, 2014, 12 (03): : 639 - 663
[42] Variational methods to second-order Dirichlet boundary value problems with impulses on the half-line
Djibaoui, Meriem
Moussaoui, Toufik
CUBO-A MATHEMATICAL JOURNAL, 2022, 24 (02): : 227 - 237
[43] Solvability for second-order three-point boundary value problems on a half-line
Lian, Hairong
Ge, Weigao
APPLIED MATHEMATICS LETTERS, 2006, 19 (10) : 1000 - 1006
[44] Multiple positive solutions of fractional differential equations with improper integral boundary conditions on the half-line
Ning Wang
Zongfu Zhou
Boundary Value Problems, 2023
[45] Multiple positive solutions of fractional differential equations with improper integral boundary conditions on the half-line
Wang, Ning
Zhou, Zongfu
BOUNDARY VALUE PROBLEMS, 2023, 2023 (01)
[46] EXISTENCE OF POSITIVE SOLUTIONS FOR BOUNDARY VALUE PROBLEMS OF SECOND-ORDER NONLINEAR DIFFERENTIAL EQUATIONS ON THE HALF LINE
Zhang, Xingqiu
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2009,
[47] Existence of two positive solutions for a class of second order impulsive singular integro-differential equations on the half
Guo, Dajun
BOUNDARY VALUE PROBLEMS, 2015,
[48] A novel method for solving a class of second order nonlinear differential equations with finitely many singularities
Wu, Boying
Guo, Lihua
Zhang, Dazhi
APPLIED MATHEMATICS LETTERS, 2015, 41 : 1 - 6
[49] Stair Laguerre pseudospectral method for differential equations on the half line
Li-lian Wang
Ben-yu Guo
Advances in Computational Mathematics, 2006, 25 : 305 - 322
[50] Stair Laguerre pseudospectral method for differential equations on the half line
Wang, Li-lian
Guo, Ben-yu
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2006, 25 (1-3) : 305 - 322

← 1 2 3 4 5 →