On boundary value problems in three-ion electrodiffusion

被引:8
|
作者
Amster, P. [1 ]
Rogers, C.
机构
[1] Univ Buenos Aires, Fac Ciencias Exactas & Nat, Dept Matemat, Buenos Aires, DF, Argentina
[2] Consejo Nacl Invest Cient & Tecn, RA-1033 Buenos Aires, DF, Argentina
[3] Univ New S Wales, Sch Math, Sydney, NSW, Australia
基金
澳大利亚研究理事会;
关键词
three-ion electrodiffusion; nonlinear boundary value problems; third order ODE's; topological methods;
D O I
10.1016/j.jmaa.2007.03.067
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The existence of solutions to a class of two-point boundary value problems in three-ion electrodiffusion is investigated via an integro-differential formulation. Boundedness by upper and lower solutions corresponding to associated boundary value problems is considered and illustrated by Painleve II solutions of a constrained version of the original boundary value problems. (c) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码:42 / 51
页数:10
相关论文
共 50 条
  • [41] A class of three-dimensional boundary-value problems of thermoelasticity
    Khomasuridze, NG
    [J]. INTERNATIONAL APPLIED MECHANICS, 2005, 41 (09) : 1076 - 1083
  • [42] On solutions of a class of three-point fractional boundary value problems
    Bai, Zhanbing
    Cheng, Yu
    Sun, Sujing
    [J]. BOUNDARY VALUE PROBLEMS, 2020, 2020 (01)
  • [43] On discrete fourth-order boundary value problems with three parameters
    He, Tieshan
    Su, Yueliang
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2010, 233 (10) : 2506 - 2520
  • [44] REMARKS ON POSITIVE SOLUTIONS OF SOME THREE POINT BOUNDARY VALUE PROBLEMS
    Webb, J. R. L.
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2003, : 905 - 915
  • [45] SPECTRAL METHOD FOR MIXED INHOMOGENEOUS BOUNDARY VALUE PROBLEMS IN THREE DIMENSIONS
    Wang, Tianjun
    Guo, Benyu
    Li, Wei
    [J]. JOURNAL OF COMPUTATIONAL MATHEMATICS, 2012, 30 (06) : 579 - 600
  • [46] SOLVABILITY OF ITERATIVE SYSTEMS OF THREE-POINT BOUNDARY VALUE PROBLEMS
    Prasad, K. R.
    Sreedhar, N.
    Kumar, K. R.
    [J]. TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2013, 3 (02): : 147 - 159
  • [47] THREE POINT BOUNDARY VALUE PROBLEMS FOR NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS
    Rehman, Mujeeb Ur
    Khan, Rahmat Ali
    Asif, Naseer Ahmad
    [J]. ACTA MATHEMATICA SCIENTIA, 2011, 31 (04) : 1337 - 1346
  • [48] Existence and Uniqueness Results for Three-point Boundary Value Problems
    Zhang Lingling
    Zhai Chengbo
    [J]. 2011 30TH CHINESE CONTROL CONFERENCE (CCC), 2011, : 460 - 463
  • [49] On solutions of a class of three-point fractional boundary value problems
    Zhanbing Bai
    Yu Cheng
    Sujing Sun
    [J]. Boundary Value Problems, 2020
  • [50] Initial/boundary value problems for simultaneous evolution equations in three dimensions
    Fokas, AS
    Rogers, C
    [J]. STUDIES IN APPLIED MATHEMATICS, 2001, 107 (04) : 391 - 401