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] A numerical method for a class of non-linear integro-differential equations on the half line
Basile, M.
Messina, E.
Themistoclakis, W.
Vecchio, A.
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 64 (07) : 2354 - 2363
[32] SOME SECOND-ORDER THREE-POINT BOUNDARY VALUE PROBLEM FOR DISCRETE EQUATIONS ON THE HALF-LINE
Tian, Yu
Ge, Weigao
TAMKANG JOURNAL OF MATHEMATICS, 2008, 39 (04): : 271 - 288
[33] Efficient spectral-collocation methods for a class of linear Fredholm integro-differential equations on the half-line
Benyoussef, Soufiane
Rahmoune, Azedine
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2020, 377
[34] Existence and iteration of positive solutions for high-order fractional differential equations with integral conditions on a half-line
Zhang X.
Journal of Applied Mathematics and Computing, 2014, 45 (1-2) : 137 - 150
[35] Nodal Solutions for Asymptotically Linear Second-Order BVPs on the Half-line
Benmezai, Abdelhamid
Mellal, Salima
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2019, 45 (01) : 315 - 335
[36] Positive solutions of operator equations on half-line
Hao, ZC
Liang, J
Xiao, TJ
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 314 (02) : 423 - 435
[37] EXISTENCE OF SOLUTIONS FOR A CLASS OF BVPS ON THE HALF-LINE
Ayadi, Souad
Ege, Ozgur
MISKOLC MATHEMATICAL NOTES, 2024, 25 (02) : 591 - 601
[38] Localization Results for Impulsive Second Order Coupled Systems on the Half-Line and Application to Logging Timber by Helicopter
Minhos, Feliz
de Sousa, Robert
ACTA APPLICANDAE MATHEMATICAE, 2019, 159 (01) : 119 - 137
[39] BIFURCATION THEORY FOR A CLASS OF SECOND ORDER DIFFERENTIAL EQUATIONS
Correa, Alvaro
Li, Yi
HOUSTON JOURNAL OF MATHEMATICS, 2013, 39 (01): : 231 - 245
[40] Multiple solutions of nonlocal boundary value problems for fractional differential equations on the half-line
Liu, Xiping
Jia, Mei
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2011, (56)

← 1 2 3 4 5 →