ABEL-GONTSCHAROFF BOUNDARY-VALUE-PROBLEMS

被引：6

作者：

AGARWAL, RP ^{[1
]}

SHENG, Q ^{[1
]}

WONG, PJY ^{[1
]}

机构：

[1] NANYANG TECHNOL UNIV,DIV MATH,SINGAPORE 1025,SINGAPORE

来源：

MATHEMATICAL AND COMPUTER MODELLING | 1993年 / 17卷 / 07期

关键词：

D O I：

10.1016/0895-7177(93)90067-9

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, we shall provide necessary and sufficient conditions for the existence and uniqueness of solutions of general n(th) order nonlinear differential equations satisfying Abel-Gontscharoff boundary conditions. Sufficient conditions which guarantee the convergence of a general class of iterative methods are provided. Computational aspects of these iterative methods are also discussed. An example which dwells upon the importance of the obtained results is also included.

引用

页码：37 / 55

页数：19

共 26 条

[1]

Agarwal R.P., 1986, BOUND VALUE PROBL

[2] ON THE RIGHT FOCAL POINT BOUNDARY-VALUE-PROBLEMS FOR INTEGRODIFFERENTIAL EQUATIONS [J].

AGARWAL, RP ;

USMANI, RA .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1987, 126 (01) :51-69

[3] MONOTONE CONVERGENCE OF ITERATIVE METHODS FOR RIGHT FOCAL POINT BOUNDARY-VALUE PROBLEMS [J].

AGARWAL, RP ;

USMANI, RA .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1988, 130 (02) :451-459

[4] ITERATIVE METHODS FOR SOLVING RIGHT FOCAL POINT BOUNDARY-VALUE-PROBLEMS [J].

AGARWAL, RP ;

USMANI, RA .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1986, 14 (03) :371-390

[5]

AGARWAL RP, 1985, ATTI ACCAD NAZ SFMN, V79, P172

[6]

AGARWAL RP, 1991, ANN POL MATH, V52, P211

[7]

COPPEL WA, 1971, LECTURE NOTES MATH, V220

[8]

Davis PJ, 1961, INTERPOLATION APPROX

[9] EXISTENCE OF SOLUTIONS FOR RIGHT FOCAL BOUNDARY-VALUE-PROBLEMS [J].

EHME, J ;

HANKERSON, D .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1992, 18 (02) :191-197

[10] FOCAL POINTS FOR A LINEAR-DIFFERENTIAL EQUATION WHOSE COEFFICIENTS ARE OF CONSTANT SIGNS [J].

ELIAS, U .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1979, 249 (01) :187-202

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