Solvability of a multi-point boundary value problem at resonance

被引：47
|
作者：
Przeradzki, B [1 ]
Stanczy, R [1 ]
机构：
[1] Univ Lodz, Dept Math, PL-90238 Lodz, Poland
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2001年 / 264卷 / 02期
关键词：
Mawhin continuation theorem; resonance; multi-point boundary value problem;
D O I：
10.1006/jmaa.2001.7616
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the problem of existence of a solution for the multi-point boundary value problem, x"(t) = f(t, x(t), x'(t)), 0 < t < 1, x(0) = 0, x(1) = Sigma(i=1)(k) xi(i)x(eta(i)), with Sigma(i=1)(k) xi(i)eta(i) = 1, in the absence of growth conditions on f. The multi-dimensional version of the problem is also considered. (C) 2001 Elsevier Science.
引用
收藏
页码：253 / 261
页数：9
相关论文
共 50 条
  • [1] Solvability of multi-point boundary value problem at resonance (II)
    Liu, Bing
    Applied Mathematics and Computation (New York), 2003, 136 (2-3): : 353 - 377
  • [2] Solvability of multi-point boundary value problem at resonance (II)
    Liu, B
    APPLIED MATHEMATICS AND COMPUTATION, 2003, 136 (2-3) : 353 - 377
  • [3] Solvability of multi-point boundary value problem at resonance (III)
    Liu, B
    Yu, JS
    APPLIED MATHEMATICS AND COMPUTATION, 2002, 129 (01) : 119 - 143
  • [4] Solvability for an impulsive fractional multi-point boundary value problem at resonance
    Chen, Yi
    Lv, Zhanmei
    Xu, Zhenhua
    BOUNDARY VALUE PROBLEMS, 2014,
  • [5] Solvability of multi-point boundary value problem at resonance - Part IV
    Liu, B
    APPLIED MATHEMATICS AND COMPUTATION, 2003, 143 (2-3) : 275 - 299
  • [6] Solvability for an impulsive fractional multi-point boundary value problem at resonance
    Yi Chen
    Zhanmei Lv
    Zhenhua Xu
    Boundary Value Problems, 2014
  • [7] Solvability of a higher-order multi-point boundary value problem at resonance
    Xiaojie Lin
    Qin Zhang
    Zengji Du
    Applications of Mathematics, 2011, 56 : 557 - 575
  • [8] Solvability of a second-order multi-point boundary value problem at resonance
    Meng, Fanchao
    Du, Zengji
    APPLIED MATHEMATICS AND COMPUTATION, 2009, 208 (01) : 23 - 30
  • [9] SOLVABILITY OF QUASI-LINEAR MULTI-POINT BOUNDARY VALUE PROBLEM AT RESONANCE
    Cheung, W. -S.
    Ren, J.
    Zhao, D.
    EURASIAN MATHEMATICAL JOURNAL, 2010, 1 (04): : 78 - 94
  • [10] SOLVABILITY OF A HIGHER-ORDER MULTI-POINT BOUNDARY VALUE PROBLEM AT RESONANCE
    Lin, Xiaojie
    Zhang, Qin
    Du, Zengji
    APPLICATIONS OF MATHEMATICS, 2011, 56 (06) : 557 - 575
12345