Some New Existence Results of Positive Solutions to an Even-Order Boundary Value Problem on Time Scales | Zendy

Yanbin Sang | Zendy

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Some New Existence Results of Positive Solutions to an Even-Order Boundary Value Problem on Time Scales

Author(s) -

Yanbin Sang

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/314382

Subject(s) - mathematics , fixed point theorem , order (exchange) , boundary value problem , eigenvalues and eigenvectors , value (mathematics) , fixed point , point (geometry) , mathematical analysis , geometry , statistics , physics , finance , quantum mechanics , economics

We consider a high-order three-point boundary value problem. Firstly, some new existence results of at least one positive solution for a noneigenvalue problem and an eigenvalue problem are established. Our approach is based on the application of three different fixed point theorems, which have extended and improved the famous Guo-Krasnosel’skii fixed point theorem at different aspects. Secondly, some examples are included to illustrate our results

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