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
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
收藏
页码:37 / 55
页数:19
相关论文
共 26 条
[21]  
PERTERSON AC, 1981, SIAM J MATH ANAL, V12, P173
[22]  
PERTERSON AC, 1979, ROCKY MOUNTAIN J MAT, V9, P721
[23]   GREEN-FUNCTIONS FOR K-POINT FOCAL BOUNDARY-VALUE-PROBLEMS [J].
UMAMAHESWARAM, S ;
RAMA, MV .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1990, 148 (02) :350-359
[24]   FOCAL SUBFUNCTIONS AND 2ND-ORDER DIFFERENTIAL-INEQUALITIES [J].
UMAMAHESWARAM, S ;
RAMA, MV .
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1991, 21 (03) :1127-1141
[25]  
UMAMAHESWARAM S, 1991, NONLINEAR ANAL, V6, P663
[26]   ABEL-GONTSCHAROFF INTERPOLATION ERROR-BOUNDS FOR DERIVATIVES [J].
WONG, PJY ;
AGARWAL, RP .
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1991, 119 :367-372