Solutions of constant signs of a system of Sturm-Liouville boundary value problems

被引：26
|
作者：
Wong, PJY [1 ]
机构：
[1] Nanyang Technol Univ, Div Math, Singapore 259756, Singapore
来源：
MATHEMATICAL AND COMPUTER MODELLING | 1999年 / 29卷 / 09期
关键词：
solutions of constant signs; system of boundary value problems;
D O I：
10.1016/S0895-7177(99)00079-5
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
We consider the following system u(i)((m)) (t) + f(i)(t, u(1), (t), u(2)(t),...,un(t)) + 0, t epsilon[0,1] u(i)((j)) (0) + 0, 0 less than or equal to j less than or equal to m - 3, alpha(i)u(i)((m - 2)) (0) - beta(i)u(i)((m - 1)) (0) = 0, gamma(i)u(i)((m - 2))(1) + delta(i)u(i)((m - 1)) (1) = 0, i = 1, 2,..., n, where m greater than or equal to 2 and for each 1 less than or equal to i less than or equal to n, beta(i) greater than or equal to 0, delta(i) greater than or equal to 0, beta(i) + alpha(i) > 0, delta(i) + gamma(i) > 0, and alpha(i)gamma(i) + alpha(i)delta(i) + beta(i)gamma(i) > 0. Criteria are offeres for the existence pf single and twin resolutions of the system that are of constant signs. (C) Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：27 / 38
页数：12
相关论文
共 50 条
  • [1] Uniqueness of positive solutions for Sturm-Liouville boundary value problems
    Wong, FH
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1998, 126 (02) : 365 - 374
  • [2] Existence of positive solutions for the Sturm-Liouville boundary value problems
    Agarwal, R.P.
    Hong, Huei-Lin
    Yeh, Cheh-Chih
    [J]. Computers and Mathematics with Applications, 1998, 35 (09): : 89 - 96
  • [3] The existence of positive solutions for the Sturm-Liouville boundary value problems
    Agarwal, RP
    Hong, HL
    Yeh, CC
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1998, 35 (09) : 89 - 96
  • [4] Multiple Solutions for Systems of Sturm-Liouville Boundary Value Problems
    Graef, John R.
    Heidarkhani, Shapour
    Kong, Lingju
    [J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2016, 13 (04) : 1625 - 1640
  • [5] Positive solutions of singular Sturm-Liouville boundary value problems
    Zhang, BG
    Kong, LJ
    [J]. DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2001, 8 (03): : 373 - 382
  • [6] Positive solutions for a class of Sturm-Liouville boundary value problems
    Huang, CC
    [J]. DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS, 2000, 7 (02): : 255 - 264
  • [7] NONTRIVIAL SOLUTIONS FOR SYSTEMS OF STURM-LIOUVILLE BOUNDARY VALUE PROBLEMS
    Graef, John R.
    Heidarkhani, Shapour
    Kong, Lingju
    [J]. DIFFERENTIAL EQUATIONS & APPLICATIONS, 2014, 6 (02): : 255 - 265
  • [8] Constant-sign and sign-changing solutions for the Sturm-Liouville boundary value problems
    He, Tieshan
    Sun, Zhaohong
    Yan, Hongming
    Lu, Yimin
    [J]. MONATSHEFTE FUR MATHEMATIK, 2016, 179 (01): : 41 - 55
  • [9] Positive Solutions for Sturm-Liouville Boundary Value Problems in a Banach Space
    Su, Hua
    Liu, Lishan
    Wu, Yonghong
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [10] On the number of solutions of two classes of Sturm-Liouville boundary value problems
    Benmezai, Abdelhamid
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (04) : 1504 - 1519
12345