Existence of positive periodic solutions for non-autonomous functional differential equations (Q2737488)
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scientific article; zbMATH DE number 1645679
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of positive periodic solutions for non-autonomous functional differential equations |
scientific article; zbMATH DE number 1645679 |
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24 September 2001
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positive periodic solutions
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functional-differential equations
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Existence of positive periodic solutions for non-autonomous functional differential equations (English)
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The authors discuss the existence of positive periodic solutions to the following first-order functional-differential equation of the form NEWLINE\[NEWLINE y'(t)=-a(t)y(t)+\lambda h(t) f(y(t-\tau(t))),NEWLINE\]NEWLINE where \(a(t), h(t)\) and \(\tau(t)\) are continuous and nonnegative \(T\)-periodic functions, \(\lambda >0\) is a constant. Some sufficient conditions are established. A fixed-point theorem due to Krasnoselskij is used to prove the existence of periodic solutions.
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