Boundary value problems for systems of functional differential equations

被引：0

作者：

Jankowski T. ^{[1
]}

机构：

[1] Department of Differential Equations, Gdansk University of Technology, Gdansk

来源：

Applications of Mathematics | 2002年 / 47卷 / 05期

关键词：

boundary value problems; consistency; convergence; difference method; functional differential equations; methods of arbitrary order;

D O I：

10.1023/A:1021714008658

中图分类号：

学科分类号：

摘要：

Algorithms for finding an approximate solution of boundary value problems for systems of functional ordinary differential equations are studied. Sufficient conditions for consistency and convergence of these methods are given. In the last section, a construction of methods of arbitrary order is presented. © 2002 Mathematical Institute, Academy of Sciences of Czech Republic.

引用

页码：427 / 458

页数：31

共 50 条

[21] Periodic boundary value problems for functional differential equations with impulses
Dong, YJ
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 210 (01) : 170 - 181
[22] Positive solutions for boundary value problems of functional differential equations
Ma, Ruyun
APPLIED MATHEMATICS AND COMPUTATION, 2007, 193 (01) : 66 - 72
[23] Fredholm-type theorem for boundary value problems for systems of nonlinear functional differential equations
Hakl, Robert
Zamora, Manuel
BOUNDARY VALUE PROBLEMS, 2014,
[24] Fredholm-type theorem for boundary value problems for systems of nonlinear functional differential equations
Robert Hakl
Manuel Zamora
Boundary Value Problems, 2014
[25] ON SOME NONLINEAR BOUNDARY VALUE PROBLEMS ON A FINITE AND AN INFINITE INTERVALS FOR SYSTEMS OF FUNCTIONAL DIFFERENTIAL EQUATIONS
Partsvania, Nino
MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2016, 67 : 137 - 140
[26] Some Boundary Value Problems for Nonlinear Functional-Differential Equations
B. Puža
Differential Equations, 2001, 37 : 797 - 806
[27] Periodic boundary value problems for second order functional differential equations
Wang W.
Shen J.
Nieto J.J.
Journal of Applied Mathematics and Computing, 2011, 36 (1-2) : 173 - 186
[28] On boundary value problems for third-order functional differential equations
Hascák, A
Pirc, V
Stanek, S
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2000, 42 (06) : 1077 - 1089
[29] ON SOME BOUNDARY VALUE PROBLEMS FOR FOURTH ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS
Kiguradze, I.
Puza, B.
MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2005, 35 : 55 - 64
[30] On nonlinear boundary value problems for higher order functional differential equations
Kiguradze, Ivan
Sokhadze, Zaza
GEORGIAN MATHEMATICAL JOURNAL, 2016, 23 (04) : 537 - 550

← 1 2 3 4 5 →