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

[21] Variational Approaches to Kirchhoff-Type Second-Order Impulsive Differential Equations on the Half-Line
Giuseppe Caristi
Shapour Heidarkhani
Amjad Salari
Results in Mathematics, 2018, 73
[22] Existence of solutions of a boundary value problem on the half-line to second order nonlinear delay differential equations
K. G. Mavridis
Ch. G. Philos
P. Ch. Tsamatos
Archiv der Mathematik, 2006, 86 : 163 - 175
[23] Multiple unbounded solutions of boundary value problems for second-order differential equations on the half-line
Yan, BQ
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2002, 51 (06) : 1031 - 1044
[24] A NEW APPROACH FOR SOLVING NONLINEAR BVP'S ON THE HALF-LINE FOR SECOND ORDER EQUATIONS AND APPLICATIONS
Matucci, Serena
MATHEMATICA BOHEMICA, 2015, 140 (02): : 153 - 169
[25] TOEPLITZ OPERATORS AND DIFFERENTIAL EQUATIONS ON A HALF-LINE
MOELLER, JW
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 36 (02) : 531 - 534
[26] REGULARITY AND SPECTRAL THEORY FOR A CLASS OF SINGULAR DIFFERENTIAL-EQUATIONS ON A HALF-LINE
MOHAMED, A
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1977, 285 (12): : 761 - 763
[27] Solvability for a class of evolution equations of fractional order with nonlocal conditions on the half-line
Lv, Zhanmei
Gong, Yanping
Chen, Yi
ADVANCES IN DIFFERENCE EQUATIONS, 2017,
[28] Solvability for a class of evolution equations of fractional order with nonlocal conditions on the half-line
Zhanmei Lv
Yanping Gong
Yi Chen
Advances in Difference Equations, 2017
[29] RESONANT PROBLEM FOR SOME SECOND-ORDER DIFFERENTIAL EQUATION ON THE HALF-LINE
Szymanska, Katarzyna
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2007,
[30] Multiple Positive Solutions for Boundary Value Problems of Second-Order Differential Equations System on the Half-Line
Xi, Shouliang
Jia, Mei
Ji, Huipeng
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2010, (17) : 1 - 15

← 1 2 3 4 5 →