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

Hua Luo and Chenghua Gao

Abstract and Applied Analysis, 2012, vol. 2012, 1-17

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:798796

DOI: 10.1155/2012/798796

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