Boundary value problems for discrete equations

被引:57
作者
Agarwal, RP [1 ]
ORegan, D [1 ]
机构
[1] NATL UNIV IRELAND UNIV COLL GALWAY, DEPT MATH, GALWAY, IRELAND
关键词
boundary value problems; existence results; upper and lower solutions; Gelfand problem;
D O I
10.1016/S0893-9659(97)00064-5
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Two existence results are presented for second-order discrete boundary value problems. The first result is based on the notion of upper and lower solutions and the second result is based on the discrete Gelfand problem.
引用
收藏
页码:83 / 89
页数:7
相关论文
共 8 条
[1]   ON BOUNDARY-VALUE PROBLEMS FOR 2ND ORDER DISCRETE-SYSTEMS [J].
AGARWAL, RP .
APPLICABLE ANALYSIS, 1985, 20 (1-2) :1-17
[2]  
AGARWAL RP, IN PRESS COMPUTERS M
[3]  
Agarwal RP, 1992, Difference equations and inequalities
[4]  
Dugundji J., 1982, Fixed Point Theory, VI.
[5]  
HENDERSON J, 1992, DYNAMIC SYSTEMS APPL, V1, P271
[6]  
Lakshmikantham V., 1988, Theory of Difference Equations : Numerical Methods and Applications
[7]  
Lasota A., 1968, Ann. Pol. Math, V20, P183, DOI [10.4064/ap-20-2-183-190, DOI 10.4064/AP-20-2-183-190]
[8]  
MUNKRES JR, 1975, TOPOLOGY