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Uniqueness of solutions for third-order two-point boundary value problems

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Abstract

This paper is devoted to study the uniqueness of solutions for the third-order boundary value problems. Differential inequalities and fixed point theorem are used. In particular, nonlinearity term is a L p-Carathédory function, p≥1.

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Authors and Affiliations

  1. School of Science, Beijing University of Posts and Telecommunications, Beijing, 100876, P.R. China

    Yu Tian

  2. Department of Applied Mathematics, Beijing Institute of Technology, Beijing, 100081, P.R. China

    Weigao Ge

Authors
  1. Yu Tian
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  2. Weigao Ge
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Correspondence to Yu Tian.

Additional information

Supported by grant 10671012 from National Natural Sciences Foundation of P.R. China and grant 20050007011 from Foundation for PhD Specialities of Educational Department of P.R. China, grant 10726038 from Tianyuan Fund of Mathematics in China.

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Tian, Y., Ge, W. Uniqueness of solutions for third-order two-point boundary value problems. J. Appl. Math. Comput. 32, 149–155 (2010). https://doi.org/10.1007/s12190-009-0239-4

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  • DOI: https://doi.org/10.1007/s12190-009-0239-4

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