ON THE SOLUTION OF NONLINEAR TWOPOINT BOUNDARY VALUE PROBLEM──u”+g(t.u)=f(t),u(0)=u(2π)=0

Applied Mathematics and Mechanics (English Edition) ›› 1998, Vol. 19 ›› Issue (9): 889-894.

ON THE SOLUTION OF NONLINEAR TWOPOINT BOUNDARY VALUE PROBLEM──u”+g(t.u)=f(t),u(0)=u(2π)=0

黄文华¹, 曹菊生¹, 沈祖和²

1. Department of Mathematics and Physics Sciences, Wuxi University of Light industry, Wuxi 214036, P. R. China;
2. Department of Mathematics, Naming University, Naming 210008, P. R. China

收稿日期:1997-05-26 出版日期:1998-09-18 发布日期:1998-09-18

ON THE SOLUTION OF NONLINEAR TWOPOINT BOUNDARY VALUE PROBLEM──u”+g(t.u)=f(t),u(0)=u(2π)=0

Huang Wenhua¹, Cao Jusheng¹, Shen Zuhe²

1. Department of Mathematics and Physics Sciences, Wuxi University of Light industry, Wuxi 214036, P. R. China;
2. Department of Mathematics, Naming University, Naming 210008, P. R. China

Received:1997-05-26 Online:1998-09-18 Published:1998-09-18

摘要/Abstract

摘要： In this paper, a non-variational version of a max-min principle is proposed, andan existence and uniqueness result is obtained for the nonlinear two-point boundaryvalue problenl u"+g(t.u)=f(t),u(0)=u(2π)=0

关键词: Hilbert space, diffeomorphism, nonlinear two-point boundaryvalue problem, unique solution

Abstract: In this paper, a non-variational version of a max-min principle is proposed, andan existence and uniqueness result is obtained for the nonlinear two-point boundaryvalue problenl u"+g(t.u)=f(t),u(0)=u(2π)=0

Key words: Hilbert space, diffeomorphism, nonlinear two-point boundaryvalue problem, unique solution

黄文华;曹菊生;沈祖和. ON THE SOLUTION OF NONLINEAR TWOPOINT BOUNDARY VALUE PROBLEM──u”+g(t.u)=f(t),u(0)=u(2π)=0[J]. Applied Mathematics and Mechanics (English Edition), 1998, 19(9): 889-894.

Huang Wenhua;Cao Jusheng;Shen Zuhe. ON THE SOLUTION OF NONLINEAR TWOPOINT BOUNDARY VALUE PROBLEM──u”+g(t.u)=f(t),u(0)=u(2π)=0[J]. Applied Mathematics and Mechanics (English Edition), 1998, 19(9): 889-894.

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ON THE SOLUTION OF NONLINEAR TWOPOINT BOUNDARY VALUE PROBLEM──u”+g(t.u)=f(t),u(0)=u(2π)=0

ON THE SOLUTION OF NONLINEAR TWOPOINT BOUNDARY VALUE PROBLEM──u”+g(t.u)=f(t),u(0)=u(2π)=0

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