Oscillation and asymptotic behavior of higher-order nonlinear differential equations (Q456598)
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scientific article; zbMATH DE number 6093880
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Oscillation and asymptotic behavior of higher-order nonlinear differential equations |
scientific article; zbMATH DE number 6093880 |
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Oscillation and asymptotic behavior of higher-order nonlinear differential equations (English)
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16 October 2012
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Summary: The aim of this paper is to offer a generalization of the Philos and Staikos lemma. As a possible application of the lemma in the oscillation theory, we study the asymptotic properties and the oscillation of the \(n\)th-order delay differential equation \[ (r(t)[x^{(n-1)}(t)]^\gamma)' + q(t)x^\gamma(\tau(t)) = 0 \] . The results obtained utilize also comparison theorems.
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