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Positive Solutions of a Nonlinear Fourth-Order Dynamic Eigenvalue Problem on Time Scales

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  • Hua Luo
  • Chenghua Gao

Abstract

Let be a time scale and , . We study the nonlinear fourth-order eigenvalue problem on , , , and obtain the existence and nonexistence of positive solutions when and , respectively, for some . The main tools to prove the existence results are the Schauder fixed point theorem and the upper and lower solution method.

Suggested Citation

  • Hua Luo & Chenghua Gao, 2012. "Positive Solutions of a Nonlinear Fourth-Order Dynamic Eigenvalue Problem on Time Scales," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-17, May.
    • Handle: RePEc:hin:jnlaaa:798796
    DOI: 10.1155/2012/798796
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