Existence of three solutions to a second-order nonhomogeneous multipoint boundary-value problem

被引：0
作者：
Y. Liu
机构：
[1] Guangdong University of Business Studies,Department of Mathematics
来源：
Lithuanian Mathematical Journal | 2010年 / 50卷
关键词：
second-order differential equation; mixed-type multipoint boundary-value problem; positive solution; fixed-point theorem in a cone; 34B10; 34B15; 35B10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper is concerned with a nonhomogeneous multipoint boundary-value problem (BVP) of a second-order differential equation with one-dimensional p-Laplacian. Using multiple fixed-point theorems, new sufficient conditions to guarantee the existence of at least three solutions of this BVP are established. An example is presented to illustrate the main results. The first emphasis of this paper is to show that the approach to get three positive solutions of a BVP by using multiple fixed-point theorems can be extended to treat nonhomogeneous BVPs. The second emphasis is put on the nonlinear term f involved with the first-order delta operator.
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页码：198 / 226
页数：28
相关论文
共 72 条
[1]  
Anderson D(2001)Corollary to the five functionals fixed point theorem J. Nonlinear Stud. 8 451-464
[2]  
Avery R(1999)A generalization of the Leggett–Williams fixed point theorem MSR Hot-Line 3 9-14
[3]  
Henderson J(2001)Three positive fixed points of nonlinear operators on ordered Banach spaces Comput. Math. Appl. 42 313-322
[4]  
Avery RI(2004)Existence of three positive solutions for some second-order boundary value problems Comput. Math. Appl. 48 699-707
[5]  
Avery RI(2004)Multiple positive solutions for some J. Math. Anal. Appl. 300 477-490
[6]  
Peterson AC(2008)-Laplacian boundary value problems Nonlinear Anal. 68 2017-2026
[7]  
Bai Z(2008)Existence of three positive solutions for m-point boundary-value problems with one-dimensional Nonlinear Anal. 68 2269-2279
[8]  
Ge W(1981)-Laplacian Acta Math. Sin. 24 444-450
[9]  
Bai Z(1984)Multiple positive solutions for m-point boundary-value problems with a one-dimensional p-Laplacian Kexue Tongbao 29 575-578
[10]  
Gui Z(2002)A new fixed point theorem Appl. Math. Lett. 15 937-943
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