Oscillation for first-order nonlinear delay differential equations (Q5957165)
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scientific article; zbMATH DE number 1716546
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Oscillation for first-order nonlinear delay differential equations |
scientific article; zbMATH DE number 1716546 |
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Oscillation for first-order nonlinear delay differential equations (English)
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10 December 2002
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oscillation
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nonlinear
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delay differential equation
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Here, the author considers the oscillation of the following functional-differential equation NEWLINE\[NEWLINE\dot{x}(t)+p(t)\prod_{j=1}^m |x(t-\tau_j)|^{\alpha_j-1} [x(t-\tau_j)]=0NEWLINE\]NEWLINE in the superlinear case with \(\sum_{j=1}^m \alpha_j>1\) and obtains explicit oscillation and nonoscillation conditions. Probably, this is the first result for the superlinear equation. Applications for the generalized logistic equation with delays are also given.
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