Multiple positive solutions of a m-point boundary value problem for 2nth-order singular integro-differential equations in Banach spaces

被引:5
作者
Xu, Yumei [1 ]
Zhang, Haijun [1 ]
机构
[1] Qufu Normal Univ, Dept Math, Qufu 273165, Shandong, Peoples R China
基金
中国国家自然科学基金;
关键词
Fixed point index; 2nth-order m-point boundary value problem; Multiple solutions; Completely continuous operator; Measure of noncompactness; Cone and ordering; EXISTENCE; SOLVABILITY;
D O I
10.1016/j.na.2008.04.026
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we obtain the existence of multiple positive solutions of a m-point boundary value problem for 2nth-order singular nonlinear integro-differential equations in a Banach space, by means of fixed point index theory of completely continuous operators. Crown Copyright (c) 2008 Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码:3243 / 3253
页数:11
相关论文
共 50 条
[41]   Multiple positive solutions for a nonlinear 2n-th order m-point boundary value problems [J].
Wang, Youyu ;
Tang, Yantao ;
Zhao, Meng .
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2010, (39) :1-13
[42]   The iterative solutions of 2nth-order nonlinear multi-point boundary value problems [J].
Wang, Yuan-Ming .
APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (05) :2251-2259
[43]   Multiple Positive Solutions of a Second Order Nonlinear Semipositone m-Point Boundary Value Problem on Time Scales [J].
Yuan, Chengjun ;
Liu, Yongming .
ABSTRACT AND APPLIED ANALYSIS, 2010,
[44]   POSITIVE SOLUTIONS FOR A 2nTH-ORDER p-LAPLACIAN BOUNDARY VALUE PROBLEM INVOLVING ALL EVEN DERIVATIVES [J].
Xu, Jiafa ;
Wei, Zhongli ;
Ding, Youzheng .
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2012, 39 (01) :23-36
[45]   Positive solutions of a singular boundary value problem for systems of second-order differential equations [J].
Liu, Weiwei ;
Liu, Lishan ;
Wu, Yonghong .
APPLIED MATHEMATICS AND COMPUTATION, 2009, 208 (02) :511-519
[46]   Multiple positive solutions for second order impulsive boundary value problems in Banach spaces [J].
Lv, Zhi-Wei ;
Liang, Jin ;
Xiao, Ti-Jun .
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2010, (38) :1-15
[47]   Positive solutions of a 2nth-order boundary value problem involving all derivatives via the order reduction method [J].
Yang, Zhilin .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (04) :822-831
[48]   Positive solutions of nth-order impulsive boundary value problems with integral boundary conditions in Banach spaces [J].
Zhang, Xuemei ;
Yang, Xiaozhong ;
Ge, Weigao .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (12) :5930-5945
[50]   POSITIVE SOLUTIONS FOR A 2nTH-ORDER p-LAPLACIAN BOUNDARY VALUE PROBLEM INVOLVING ALL DERIVATIVES [J].
Ding, Youzheng ;
Xu, Jiafa ;
Zhang, Xiaoyan .
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2013,