Positivity of Green's function for an n-point right focal boundary value problem on measure chains

被引:15
作者
Anderson, D [1 ]
机构
[1] Concordia Coll, Dept Math & Comp Sci, Moorhead, MN 56562 USA
关键词
measure chains; Green's function;
D O I
10.1016/S0895-7177(00)00044-3
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
We determine sufficient conditions for the positivity of Green's function for an n-point right focal boundary value problem on measure chains whose forward jump operator is delta differentiable. For n = 3,4 and various measure chains, we see that positivity depends on the distances between boundary points. (C) 2000 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:29 / 50
页数:22
相关论文
共 9 条
[1]  
AGARWAL R, 704 NAT U SING DEP M
[2]  
AGARWAL R, 714 NAT U SING DEP M
[3]  
Agarwal R. P., 1999, RESULTS MATH, V35, P3, DOI [DOI 10.1007/BF03322019, 10.1007/BF03322019]
[4]   Sturm-Liouville eigenvalue problems on time scales [J].
Agarwal, RP ;
Bohner, M ;
Wong, PJY .
APPLIED MATHEMATICS AND COMPUTATION, 1999, 99 (2-3) :153-166
[5]  
ANDERSON D, 1998, PANAMERICAN MATH J, V8, P45
[6]  
BOHNER M, IN PRESS DIFFERENTIA
[7]  
ERBE L, IN PRESS DYNAMICS CO
[8]  
Hilger S., 1990, Results Math, V18, P18, DOI [DOI 10.1007/BF03323153, 10.1007/BF03323153]
[9]   GREEN-FUNCTIONS FOR K-POINT FOCAL BOUNDARY-VALUE-PROBLEMS [J].
UMAMAHESWARAM, S ;
RAMA, MV .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1990, 148 (02) :350-359