Existence and asymptotic behavior of positive solutions of functional differential equations of delayed type (Q624514)
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scientific article; zbMATH DE number 5848831
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence and asymptotic behavior of positive solutions of functional differential equations of delayed type |
scientific article; zbMATH DE number 5848831 |
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Existence and asymptotic behavior of positive solutions of functional differential equations of delayed type (English)
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9 February 2011
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Summary: Solutions of the equation \[ y(t) = - f (t,y_t) \] are considered for \(t\to \infty\). The existence of two classes of positive solutions which are asymptotically different is proved by using the retract method combined with Razumikhin's technique. By means of two auxiliary linear equations, which are constructed using upper and lower linear functional estimates of the right-hand side of the equation considered, inequalities for both types of positive solutions are given as well.
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