Nonoscillation of higher order functional differential equations (Q791018)
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scientific article; zbMATH DE number 3849667
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonoscillation of higher order functional differential equations |
scientific article; zbMATH DE number 3849667 |
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Nonoscillation of higher order functional differential equations (English)
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1983
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The objective of this paper is to obtain sufficient conditions for all solutions of the forced higher order nonlinear functional differential equation \((a(t)x')^{(n-1)}+f(x(g(t)))=r(t)\) to be nonoscillatory. For this purpose, the asymptotic behavior of oscillatory solutions is discussed. The main results refer to nonlinearities of the type \(| f(x)| \leq A| x|^ p+B\).
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oscillatory solutions
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nonoscillatory solutions
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asymptotic properties
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forced higher order nonlinear functional differential equation
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