Positive solutions for vector differential equations (Q2855905)
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scientific article; zbMATH DE number 6218155
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Positive solutions for vector differential equations |
scientific article; zbMATH DE number 6218155 |
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Positive solutions for vector differential equations (English)
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23 October 2013
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positive solution
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Leray-Schauder alternative theorem
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Krasnosel'skij's fixed point theorem
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0.91757464
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This paper is concerned with the existence and multiplicity of positive periodic solutions of the first order non-autonomous differential system NEWLINE\[NEWLINEx'(t)+A(t)x(t)=f(t,x),NEWLINE\]NEWLINE where \(f\) is periodic in the first argument and \(A\) is a diagonal matrix with periodic coefficients. By using the Leray-Schauder alternative theorem and the Krasnosel'skij fixed point theorem, the author shows that the above differential system has at least two positive periodic solutions under the periodic boundary value conditions.
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