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Positive Solutions for Two-Point Semipositone Right Focal Eigenvalue Problem

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Abstract

Krasnoselskii's fixed-point theorem in a cone is used to discuss the existence of positive solutions to semipositone right focal eigenvalue problems,,,,, where, is fixed, is continuous with for some positive constant.

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References

  1. 1.

    Agarwal RP: Boundary Value Problems for Higher Order Differential Equations. World Scientific, Singapore; 1986:xii+307.

  2. 2.

    Agarwal RP, O'Regan D, Lakshmikantham V: Singular focal and higher order boundary value problems. Nonlinear Analysis: Theory, Methods & Applications 2000,42(2):215–228. 10.1016/S0362-546X(98)00341-1

  3. 3.

    Boey KL, Wong PJY: Two-point right focal eigenvalue problems on time scales. Applied Mathematics and Computation 2005,167(2):1281–1303. 10.1016/j.amc.2004.09.007

  4. 4.

    He X, Ge W: Positive solutions for semipositone right focal boundary value problems. Applicable Analysis 2002,81(2):227–240. 10.1080/0003681021000021943

  5. 5.

    Ma R: Multiple positive solutions for a semipositone fourth-order boundary value problem. Hiroshima Mathematical Journal 2003,33(2):217–227.

  6. 6.

    Wong PJY, Agarwal RP: Multiple positive solutions of two-point right focal boundary value problems. Mathematical and Computer Modelling 1998,28(3):41–49. 10.1016/S0895-7177(98)00097-1

  7. 7.

    Wong PJY, Agarwal RP: On two-point right focal eigenvalue problems. Zeitschrift für Analysis und ihre Anwendungen 1998,17(3):691–713.

  8. 8.

    Agarwal RP, Wong F-H: Existence of positive solutions for non-positive higher-order BVPs. Journal of Computational and Applied Mathematics 1998,88(1):3–14. 10.1016/S0377-0427(97)00211-2

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Correspondence to Minghe Pei.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Equation
  • Eigenvalue Problem