Eigenvalue criteria for existence of multiple positive solutions to boundary value problems of second-order delay differential equations

被引：9

作者：

Bai, CZ ^{[1
]}

Ma, JP

机构：

[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China

[2] Huaiyin Normal Coll, Dept Math, Jiangsu 273001, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2005年 / 301卷 / 02期

关键词：

delay differential equation; boundary value problem; positive solutions; fixed-point index;

D O I：

10.1016/j.jmaa.2004.07.037

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Criteria are established for existence of multiple positive solutions to the boundary value problems expressed by second-order delay differential equations of the form [GRAPHICS] where 0 < tau, a < 1/4 are suitably small, p is an element of C-1 [0, 1], p > 0, q is an element of C[0, 1], and q greater than or equal to 0. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：457 / 476

页数：20

共 50 条

[21] Existence of positive solutions for second-order impulsive differential equations with delay and three-point boundary value problem
Xu, Wenai
Ding, Wei
ADVANCES IN DIFFERENCE EQUATIONS, 2016, : 1 - 11
[22] Existence of solutions for periodic boundary value problems for second-order integro-differential, equations
Hong, SH
Hu, SG
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2000, 21 (03) : 355 - 362
[23] EXISTENCE OF SOLUTIONS FOR PERIODIC BOUNDARY VALUE PROBLEMS FOR SECOND-ORDER INTEGRO-DIFFERENTIAL EQUATIONS
洪世煌
胡适耕
AppliedMathematicsandMechanics(EnglishEdition), 2000, (03) : 355 - 362
[24] Existence of solutions for periodic boundary value problems for second-order integro-differential equations
Shihuang H.
Shigeng H.
Applied Mathematics and Mechanics, 2000, 21 (3) : 355 - 362
[25] Existence of multiple solutions for second-order discrete boundary value problems
Henderson, J
Thompson, HB
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2002, 43 (10-11) : 1239 - 1248
[26] MULTIPLE POSITIVE SOLUTIONS OF SECOND-ORDER STURM-LIOUVILLE BOUNDARY VALUE PROBLEMS FOR IMPULSIVE DIFFERENTIAL EQUATIONS
Tian, Yu
Ge, Weigao
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2010, 40 (02) : 643 - 672
[27] 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
[28] 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
[29] EXISTENCE OF THREE POSITIVE SOLUTIONS FOR MULTIPLE-POINT BOUNDARY VALUE PROBLEM OF SECOND-ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS
Shen, Chunfang
Yang, Liu
FIXED POINT THEORY, 2011, 12 (01): : 205 - 216
[30] On positive solutions of boundary value problems for second-order functional differential equations on infinite intervals
Bai, CZ
Fang, JX
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 282 (02) : 711 - 731

← 1 2 3 4 5 →