BOUNDARY-VALUE-PROBLEMS FOR SYSTEMS OF 2ND-ORDER DIFFERENTIAL-EQUATIONS - APPROXIMATIONS, CONVERGENCE AND UPPER ERROR-BOUNDS

被引：0

作者：

JODAR, L ^{[1
]}

机构：

[1] UNIV POLITECN VALENCIA,DEPT APPL MATH,VALENCIA,SPAIN

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1990年 / 30卷 / 01期

关键词：

approximations; Boundary value problems; convergence; differential system; error bounds;

D O I：

10.1016/0377-0427(90)90004-J

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper two-point boundary value problems for systems of second-order differential equations with constant coefficients are studied in terms of the solution of an algebraic matrix equation related to the problem. The interplay between the differential and the algebraic problems is used to obtain approximate solutions and upper error bounds of the boundary value problem in terms of approximate solutions and upper error bounds of the algebraic matrix equation. © 1990.

引用

页码：39 / 54

页数：16

共 50 条

[31] PERIODIC BOUNDARY-VALUE-PROBLEMS FOR AN INFINITE SYSTEM OF NONLINEAR 2ND ORDER DIFFERENTIAL-EQUATIONS
REDDY, KN
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1989, 20 (12): : 1213 - 1229
[32] BOUNDARY-VALUE-PROBLEMS FOR 2ND ORDER NON-LINEAR MATRIX DIFFERENTIAL-EQUATIONS
SHREVE, WE
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1981, 83 (01) : 63 - 68
[33] BOUNDARY-VALUE PROBLEMS FOR INFINITE SYSTEMS OF 2ND-ORDER DIFFERENTIAL EQUATIONS
SCHMITT, K
THOMPSON, R
JOURNAL OF DIFFERENTIAL EQUATIONS, 1975, 18 (02) : 277 - 295
[34] AN ALGORITHM FOR SOLVING COUPLED DIFFERENTIAL MATRIX SYSTEMS - APPROXIMATIONS, CONVERGENCE AND UPPER ERROR-BOUNDS
JODAR, L
HERVAS, A
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1989, 25 (03) : 351 - 362
[35] ON EXPONENTIAL BOUNDS FOR SOLUTIONS OF 2ND-ORDER DIFFERENTIAL-EQUATIONS
LYONS, TJ
REUTER, GEH
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1985, 17 (MAR) : 139 - 143
[36] SOLVABILITY OF BOUNDARY-VALUE-PROBLEMS FOR 2ND-ORDER OPERATOR-DIFFERENTIAL EQUATIONS OF ELLIPTIC TYPE
GASYMOV, MG
MIRZOEV, SS
DIFFERENTIAL EQUATIONS, 1992, 28 (04) : 528 - 536
[37] ON A CLASS OF FUNCTIONAL BOUNDARY-VALUE-PROBLEMS FOR 2ND-ORDER FUNCTIONAL-DIFFERENTIAL EQUATIONS WITH PARAMETER
STANEK, S
CZECHOSLOVAK MATHEMATICAL JOURNAL, 1993, 43 (02) : 339 - 348
[38] ORDER OF CONVERGENCE OF EXPANSIONS OF SOLUTIONS OF BOUNDARY-VALUE-PROBLEMS FOR QUASI-LINEAR 2ND-ORDER PARABOLIC EQUATIONS
BOICHUK, MV
BOGAENKO, KI
DIFFERENTIAL EQUATIONS, 1986, 22 (12) : 1427 - 1432
[39] BOUNDARY-VALUE-PROBLEMS FOR DEGENERATE DIFFERENTIAL-EQUATIONS
IMRANOV, NI
DIFFERENTIAL EQUATIONS, 1986, 22 (04) : 440 - 446
[40] BOUNDARY-VALUE-PROBLEMS FOR STOCHASTIC DIFFERENTIAL-EQUATIONS
NUALART, D
PARDOUX, E
ANNALS OF PROBABILITY, 1991, 19 (03): : 1118 - 1144

← 1 2 3 4 5 →