Scalar discrete nonlinear multipoint boundary value problems

被引：20
|
作者：
Rodriguez, Jesus [1 ]
Taylor, Padraic [1 ]
机构：
[1] N Carolina State Univ, Dept Math, Raleigh, NC 27695 USA
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 330卷 / 02期
关键词：
boundary value problems; Brouwer Fixed Point Theorem; Lyapunov-Schmidt; projection;
D O I：
10.1016/j.jmaa.2006.08.008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we provide sufficient conditions for the existence of solutions to scalar discrete nonlinear multipoint boundary value problems. By allowing more general boundary conditions and by imposing less restrictions on the nonlinearities, we obtain results that extend previous work in the area of discrete boundary value problems [Debra L. Etheridge, Jesus Rodriguez, Periodic solutions of nonlinear discrete-time systems, Appl. Anal. 62 (1996) 119-137; Debra L. Etheridge, Jesus Rodriguez, Scalar discrete nonlinear two-point boundary value problems, J. Difference Equ. Appl. 4 (1998) 127-144]. (c) 2006 Elsevier Inc. All rights reserved.
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页码：876 / 890
页数：15
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