On the Solution of Nonlinear Two-Point Boundary Value Problem u"+g(t, u)=f(t), u(0)=u(2π)=0

Huang Wenhua; Cao Jusheng; Shen Zuhe

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Article Navigation > Applied Mathematics and Mechanics > 1998 > 19(9): 821-826

Huang Wenhua, Cao Jusheng, Shen Zuhe. On the Solution of Nonlinear Two-Point Boundary Value Problem u'+g(t, u)=f(t), u(0)=u(2π)=0[J]. Applied Mathematics and Mechanics, 1998, 19(9): 821-826.

Citation:

Huang Wenhua, Cao Jusheng, Shen Zuhe. On the Solution of Nonlinear Two-Point Boundary Value Problem u"+g(t, u)=f(t), u(0)=u(2π)=0[J]. Applied Mathematics and Mechanics, 1998, 19(9): 821-826.

Huang Wenhua, Cao Jusheng, Shen Zuhe. On the Solution of Nonlinear Two-Point Boundary Value Problem u'+g(t, u)=f(t), u(0)=u(2π)=0[J]. Applied Mathematics and Mechanics, 1998, 19(9): 821-826.

Citation:

Huang Wenhua, Cao Jusheng, Shen Zuhe. On the Solution of Nonlinear Two-Point Boundary Value Problem u"+g(t, u)=f(t), u(0)=u(2π)=0[J]. Applied Mathematics and Mechanics, 1998, 19(9): 821-826.

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On the Solution of Nonlinear Two-Point Boundary Value Problem u"+g(t, u)=f(t), u(0)=u(2π)=0

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

Received Date: 1997-05-26
Rev Recd Date: 1998-05-10
Publish Date: 1998-09-15

Abstract

Abstract

In this paper,a non-variational version of a max-min principle is proposed,and an existence and uniqueness result is obtained for the nonlinear two-point boundary value problem u"+g(t,u)=f(t),u(0)=u(2π)=0.
- Hilbert space,
- diffeomorphism,
- nonlinear two-point boundary value problem,
- unique solution

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References(2)

References

[1]	R.F.Manasevich,A non variational version of a max-min principle,Nonlinear Analysis,Theory,Methods &Applications,7(6) (1983),565-570.
[2]	Gaetano Zampieri,Diffeomorphisms with Banach space domains,Nonlinear Analysis,Theory,Methods &Applications,19(10) (1992),923-932.