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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

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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 nonliner two-point boundary value problem u″+g(t,u)=f(t),u(0)=u(2π)=0

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References

  1. R. F. Manasevich, A non variational version of a max-min principle,Nonlinear Analysis, Theory, Methods & Applications,7, 6 (1983), 565–570.

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Communicated by Liu Zengrong

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Wenhua, H., Jusheng, C. & Zuhe, S. On the solution of nonlinear two-point boundary value problem. Appl Math Mech 19, 889–894 (1998). https://doi.org/10.1007/BF02458244

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  • DOI: https://doi.org/10.1007/BF02458244

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