Asymptotic behavior of nonoscillatory solutions to \(n\)-th order nonlinear neutral differential equations (Q943669)
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scientific article; zbMATH DE number 5323987
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic behavior of nonoscillatory solutions to \(n\)-th order nonlinear neutral differential equations |
scientific article; zbMATH DE number 5323987 |
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Asymptotic behavior of nonoscillatory solutions to \(n\)-th order nonlinear neutral differential equations (English)
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10 September 2008
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For the class of \(n\)th order nonlinear neutral differential equations \[ (x(t)+p(t)x(t-\tau))^{(n)}+f(t,x(t),x(\rho(t)),x'(t),x'(\sigma(t)))=0 \] sufficient conditions for all nonoscillatory solutions to satisfy \(\lim_{t\to\infty}t^{1-n}x(t)=a\) are presented.
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neutral equation
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asymptotic behavior
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