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

[31] THE EXISTENCE OF POSITIVE SOLUTIONS TO BOUNDARY VALUE PROBLEM OF SECOND ORDER DIFFERENTIAL EQUATIONS
Juan Dai
Annals of Applied Mathematics, 2010, (01) : 10 - 15
[32] Existence of multiple periodic solutions for a class of second-order delay differential equations
Guo, Chengjun
Guo, Zhiming
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (05) : 3285 - 3297
[33] Existence of Positive Solutions of Nonlinear Second-Order Periodic Boundary Value Problems
Ruyun Ma
Chenghua Gao
Ruipeng Chen
Boundary Value Problems, 2010
[34] Existence of triple positive solutions for second-order discrete boundary value problems
Guo, Yanping
Zhang, Jiehua
Ji, Yude
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2007, 2007
[35] Multiple positive solutions to second-order Neumann boundary value problems
Sun, JP
Li, WT
APPLIED MATHEMATICS AND COMPUTATION, 2003, 146 (01) : 187 - 194
[36] Existence of three positive solutions for some second-order boundary value problems
Bai, ZB
Ge, WG
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2004, 48 (5-6) : 699 - 707
[37] Existence of Positive Solutions of Nonlinear Second-Order Periodic Boundary Value Problems
Ma, Ruyun
Gao, Chenghua
Chen, Ruipeng
BOUNDARY VALUE PROBLEMS, 2010,
[38] Existence of positive solutions for second-order boundary value problems on infinity intervals
Ma, RY
APPLIED MATHEMATICS LETTERS, 2003, 16 (01) : 33 - 39
[39] The existence of positive solutions of nonlinear singular second-order boundary value problems
Ntouyas, SK
Palamides, PK
MATHEMATICAL AND COMPUTER MODELLING, 2001, 34 (5-6) : 641 - 656
[40] An Existence Result of Positive Solutions for Fully Second-Order Boundary Value Problems
Li, Yongxiang
Shang, Yaya
JOURNAL OF FUNCTION SPACES, 2015, 2015

← 1 2 3 4 5 →