On the behaviour of the solutions of first order nonhomogeneous delay differential equations (Q2783535)
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scientific article; zbMATH DE number 1730543
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the behaviour of the solutions of first order nonhomogeneous delay differential equations |
scientific article; zbMATH DE number 1730543 |
Statements
12 January 2003
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solutions
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asymptotic behaviour
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nonhomogeneous delay differential equation
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On the behaviour of the solutions of first order nonhomogeneous delay differential equations (English)
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The oscillatory, nonoscillatory and asymptotic behaviour of the nonhomogeneous delay differential equation \({x'(t)+Q(t)G(x(t-\sigma))=f(t)}\) is studied. Sufficient conditions for a solution \(x(t)\) to be either oscillatory or fulfils the inequality \(0\leq x(t)\leq \int_{0}^{t} f(s) ds\) are established. Several examples illustrating the results are given.
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