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Some new existence results of positive solutions to an even-order boundary value problem on time scales - MaRDI portal

Some new existence results of positive solutions to an even-order boundary value problem on time scales (Q2015354)

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scientific article; zbMATH DE number 6306647
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Some new existence results of positive solutions to an even-order boundary value problem on time scales
scientific article; zbMATH DE number 6306647

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    Some new existence results of positive solutions to an even-order boundary value problem on time scales (English)
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    23 June 2014
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    Summary: 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 extend and improve the famous Guo-Krasnosel'skii fixed point theorem at different aspects. Secondly, some examples are included to illustrate our results.
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    Guo-Krasnosel'skii fixed point theorem
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