Skip to main content
Advances in Continuous and Discrete Models

Theory and Modern Applications

Download PDF
  • Research Article
  • Open access
  • Published:

Positive Solutions of Two-Point Right Focal Eigenvalue Problems on Time Scales

Advances in Difference Equations volume 2007, Article number: 087818 (2008) Cite this article

Abstract

We offer criteria for the existence of positive solutions for two-point right focal eigenvalue problems , where are fixed and is a time scale.

[12345678910111213]

References

  1. Agarwal RP, Bohner M: Basic calculus on time scales and some of its applications. Results in Mathematics 1999,35(1–2):3–22.

    Article  MATH  MathSciNet  Google Scholar 

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

    Book  MATH  Google Scholar 

  3. 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

    Article  MATH  MathSciNet  Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

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

    MATH  MathSciNet  Google Scholar 

  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

    Article  MATH  MathSciNet  Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

  8. Agarwal RP, O'Regan D: Nonlinear boundary value problems on time scales. Nonlinear Analysis: Theory, Methods & Applications 2001,44(4):527–535. 10.1016/S0362-546X(99)00290-4

    Article  MATH  MathSciNet  Google Scholar 

  9. 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

    Article  MATH  MathSciNet  Google Scholar 

  10. Boey KL, Wong PJY: Positive solutions of two-point right focal boundary value problems on time scales. Computers & Mathematics with Applications 2006,52(3–4):555–576. 10.1016/j.camwa.2006.08.025

    Article  MATH  MathSciNet  Google Scholar 

  11. Boey KL, Wong PJY: Existence of triple positive solutions of two-point right focal boundary value problems on time scales. Computers & Mathematics with Applications 2005,50(10–12):1603–1620.

    Article  MATH  MathSciNet  Google Scholar 

  12. Henderson J, Tisdell CC: Topological transversality and boundary value problems on time scales. Journal of Mathematical Analysis and Applications 2004,289(1):110–125. 10.1016/j.jmaa.2003.08.030

    Article  MATH  MathSciNet  Google Scholar 

  13. Guo DJ, Lakshmikantham V: Nonlinear Problems in Abstract Cones, Notes and Reports in Mathematics in Science and Engineering. Volume 5. Academic Press, Boston, Mass, USA; 1988:viii+275.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Bei Hua University, Jilin City, 132013, China

    Yuguo Lin & Minghe Pei

Authors
  1. Yuguo Lin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Minghe Pei
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding authors

Correspondence to Yuguo Lin or Minghe Pei.

Rights and permissions

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.

Reprints and permissions

About this article

Cite this article

Lin, Y., Pei, M. Positive Solutions of Two-Point Right Focal Eigenvalue Problems on Time Scales. Adv Differ Equ 2007, 087818 (2008). https://doi.org/10.1155/2007/87818

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1155/2007/87818

Keywords