Asymptotic behaviour of a class of third-order delay differential equations (Q2777511)
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scientific article; zbMATH DE number 1717376
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic behaviour of a class of third-order delay differential equations |
scientific article; zbMATH DE number 1717376 |
Statements
7 March 2002
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oscillation
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asymptotic behaviour
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property (B)
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Asymptotic behaviour of a class of third-order delay differential equations (English)
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The authors present sufficient conditions for the delay differential equation NEWLINE\[NEWLINE y'''(t)+a(t)y''(t)+b(t)y'(t)+c(t)y(g(t))=0\tag{1} NEWLINE\]NEWLINE to have property (B), that is, every nonoscillatory solution \(y(t)\) to (1) satisfies \(y(t)y^{i}(t)>0\), \(0\leq i\leq 3\). The obtained results generalize some other known results.
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