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
  • [21] On the solvability of some multi-point boundary value problems
    Gupta, Chaitan P.
    Ntouyas, S.K.
    Tsamatos, P.Ch.
    Applications of Mathematics, 41 (01):
  • [22] SOLVABILITY OF SINGULAR MULTI-POINT BOUNDARY VALUE PROBLEMS
    Khaldi, Rabah
    Guezane-Lakoud, Assia
    Hamidane, Nacira
    PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2019, 45 (01): : 3 - 14
  • [23] Solvability for a Higher Order Implicit Fractional Multi-point Boundary Value Problems at Resonance
    Wei Zhang
    Xinyu Fu
    Mediterranean Journal of Mathematics, 2024, 21
  • [24] Solvability for a Higher Order Implicit Fractional Multi-point Boundary Value Problems at Resonance
    Zhang, Wei
    Fu, Xinyu
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2024, 21 (01)
  • [25] On the solvability of a nonlocal boundary value problem for a loaded hyperbolic equations with multi-point conditions
    Assanova, A. T.
    Imanchiev, A. E.
    BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 2016, 81 (01): : 15 - 25
  • [26] On a third-order multi-point boundary value problem at resonance
    Du, ZJ
    Lin, XJ
    Ge, WG
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 302 (01) : 217 - 229
  • [27] SOLVABILITY OF MULTI-POINT VALUE PROBLEMS WITH INTEGRAL CONDITION AT RESONANCE
    Khaldi, Rabah
    Kouidri, Mohammed
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2018, 16 (03): : 306 - 316
  • [28] On a multi-point discrete boundary value problem
    Henderson, Johnny
    Luca, Rodica
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2013, 19 (04) : 690 - 699
  • [29] Solvability for two classes of higher-order multi-point boundary value problems at resonance
    Gao, Yunzhu
    Pei, Minghe
    BOUNDARY VALUE PROBLEMS, 2008, 2008 (1)
  • [30] Solvability for Two Classes of Higher-Order Multi-Point Boundary Value Problems at Resonance
    Yunzhu Gao
    Minghe Pei
    Boundary Value Problems, 2008
12345