First order discontinuous implicit differential equations with discontinuous boundary conditions

被引:9
|
作者
Heikkila, S [1 ]
机构
[1] Univ Oulu, Dept Math Sci, Oulu 90570, Finland
关键词
discontinuous implicit differential equations; discontinuous implicit boundary conditions; extremal solutions; a method of upper and lower solutions; a generalized iteration method; convergence of successive approximations;
D O I
10.1016/S0362-546X(97)00250-2
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
[No abstract available]
引用
收藏
页码:1753 / 1761
页数:9
相关论文
共 50 条
  • [1] On second order discontinuous implicit boundary value problems with discontinuous implicit boundary conditions
    Carl, S
    Heikkila, S
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1998, 33 (03) : 261 - 279
  • [2] On discontinuous first order implicit boundary value problems
    Carl, S
    Heikkila, S
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1998, 148 (01) : 100 - 121
  • [3] On first order discontinuous implicit boundary value problems
    Carl, S
    Heikkilä, S
    Koponen, P
    [J]. DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS, 1999, 6 (04): : 587 - 601
  • [4] Discontinuous impulsive differential equations with nonlinear boundary conditions
    Cabada, A
    Liz, E
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 28 (09) : 1491 - 1497
  • [5] First-Order Singular and Discontinuous Differential Equations
    DanielC Biles
    Rodrigo López Pouso
    [J]. Boundary Value Problems, 2009
  • [6] First-Order Singular and Discontinuous Differential Equations
    Biles, Daniel C.
    Lopez Pouso, Rodrigo
    [J]. BOUNDARY VALUE PROBLEMS, 2009,
  • [7] Dependence of eigenvalues of fourth-order differential equations with discontinuous boundary conditions on the problem
    Lv, Xiao-xia
    Ao, Ji-jun
    Zettl, Anton
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 456 (01) : 671 - 685
  • [8] A QUALITATIVE RESULT FOR HIGHER-ORDER DISCONTINUOUS IMPLICIT DIFFERENTIAL EQUATIONS
    Cubiotti, Paolo
    [J]. ATTI ACCADEMIA PELORITANA DEI PERICOLANTI-CLASSE DI SCIENZE FISICHE MATEMATICHE E NATURALI, 2021, 99 (01):
  • [9] Implicit function theorems and discontinuous implicit differential equations
    Heikkilä, S
    [J]. INTEGRAL METHODS IN SCIENCE AND ENGINEERING: ANALYTIC AND NUMERICAL TECHNIQUES, 2004, : 79 - 84
  • [10] TRANSVERSALITY CONDITIONS FOR THE EXISTENCE OF SOLUTIONS OF FIRST-ORDER DISCONTINUOUS FUNCTIONAL DIFFERENTIAL EQUATIONS
    Lopez Pouso, Rodrigo
    Marquez Albes, Ignacio
    Rodriguez-Lopez, Jorge
    [J]. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2021, 58 (01) : 1 - 17