EXISTENCE AND UNIQUENESS RESULTS FOR NONLINEAR BOUNDARY-VALUE-PROBLEMS

被引：0

作者：

HAI, DD ^{[1
]}

SCHMITT, K ^{[1
]}

机构：

[1] UNIV UTAH,DEPT MATH,SALT LAKE CITY,UT 84112

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 1994年 / 24卷 / 01期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give some elementary applications of fixed point principles to prove existence and uniqueness results for solutions of boundary value problems of ordinary and partial differential equations.

引用

页码：77 / 91

页数：15

共 18 条

[1]

AGMON S, 1965, LECTURES ELLIPTIC BO

[2] SELECTION OF NORMS IN ITERATION METHOD FOR BOUNDARY-VALUE PROBLEMS [J].

ALBRECHT, J .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1972, 52 (12) :626-628

[3]

Bailey P. B., 1968, NONLINEAR 2 POINT BO

[4] ON INTERVAL OF CONVERGENCE OF PICARDS ITERATION [J].

BAILEY, PB .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1968, 48 (02) :127-&

[5]

Brezis H., 1983, ANAL FONCTIONNELLE T

[6] SEMI-LINEAR DIRICHLET PROBLEM [J].

CASTRO, A .

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1979, 31 (02) :337-340

[7] CONVERGENCE OF SUCCESSIVE APPROXIMATIONS FOR NONLINEAR 2-POINT BOUNDARY VALUE PROBLEMS [J].

COLES, WJ ;

SHERMAN, TL .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1967, 15 (02) :426-&

[8]

Epheser H, 1955, MATH Z, V61, P435

[9] THE PICARD BOUNDARY-VALUE PROBLEM FOR NON-LINEAR 2ND ORDER VECTOR DIFFERENTIAL-EQUATIONS [J].

FABRY, C ;

HABETS, P .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1981, 42 (02) :186-198

[10] EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR A NONLINEAR 2ND-ORDER DIFFERENTIAL-EQUATION IN HILBERT-SPACE [J].

HAI, DD .

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 1990, 33 :89-95

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