Third order boundary value problems with nonlocal boundary conditions

被引：100

作者：

Graef, John R. ^{[1
]}

Webb, J. R. L. ^{[2
]}

机构：

[1] Univ Tennessee, Dept Math, Chattanooga, TN 37403 USA

[2] Univ Glasgow, Dept Math, Glasgow G12 8QW, Lanark, Scotland

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 5-6期

关键词：

Boundary value problems; Hammerstein integral operator; Nonlocal boundary conditions; Third order problems; MULTIPLE POSITIVE SOLUTIONS; SEMILINEAR DIFFERENTIAL-EQUATIONS;

D O I：

10.1016/j.na.2008.12.047

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We treat the existence of multiple positive solutions for a third order boundary value problem with nonlocal boundary conditions. In our work, each of the three boundary conditions is a linear functional on C[0, 1], that is, given by a Stieltjes integral, but is not necessarily a positive functional. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：1542 / 1551

页数：10

共 50 条

[21] Nonlocal boundary value problems for second-order nonlinear Hahn integro-difference equations with integral boundary conditions [J].

Umaphon Sriphanomwan ;

Jessada Tariboon ;

Nichaphat Patanarapeelert ;

Sotiris K Ntouyas ;

Thanin Sitthiwirattham .

Advances in Difference Equations, 2017

[22] Nonlocal boundary value problems for second-order nonlinear Hahn integro-difference equations with integral boundary conditions [J].

Sriphanomwan, Umaphon ;

Tariboon, Jessada ;

Patanarapeelert, Nichaphat ;

Ntouyas, Sotiris K. ;

Sitthiwirattham, Thanin .

ADVANCES IN DIFFERENCE EQUATIONS, 2017,

[23] Matrix representations of fourth order boundary value problems with periodic boundary conditions [J].

Ge, Suqin ;

Wang, Wanyi ;

Ao, Jijun .

APPLIED MATHEMATICS AND COMPUTATION, 2014, 227 :601-609

[24] POSITIVE SOLUTIONS OF SOME HIGHER ORDER NONLOCAL BOUNDARY VALUE PROBLEMS [J].

Webb, J. R. L. .

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2009,

[25] A note on the nonlocal boundary value problem for a third order partial differential equation [J].

Belakroum, Kheireddine ;

Ashyralyev, Allaberen ;

Guezane-Lakoud, Assia .

INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2016), 2016, 1759

[26] A Note on the Nonlocal Boundary Value Problem for a Third Order Partial Differential Equation [J].

Belakroum, Kh. ;

Ashyralyev, A. ;

Guezane-Lakoud, A. .

FILOMAT, 2018, 32 (03) :801-808

[27] Positive solutions of nonlocal boundary value problems involving integral conditions [J].

Webb, Jeff R. L. ;

Infante, Gennaro .

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2008, 15 (1-2) :45-67

[28] Positive solutions of nonlocal boundary value problems involving integral conditions [J].

Jeff R. L. Webb ;

Gennaro Infante .

Nonlinear Differential Equations and Applications NoDEA, 2008, 15 :45-67

[29] Positive Solutions of nth-Order Boundary Value Problems with Integral Boundary Conditions [J].

Karaca, Ilkay Yaslan ;

Fen, Fatma Tokmak .

MATHEMATICAL MODELLING AND ANALYSIS, 2015, 20 (02) :188-204

[30] TRIPLE POSITIVE SOLUTIONS OF NONLINEAR THIRD ORDER BOUNDARY VALUE PROBLEMS [J].

Liu, Zeqing ;

Kang, Shin Min ;

Ume, Jeong Sheok .

TAIWANESE JOURNAL OF MATHEMATICS, 2009, 13 (03) :955-971

← 1 2 3 4 5 →