On the behavior of the oscillatory solutions of first or second order delay differential equations |
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Authors: | Ch.G Philos I.K Purnaras |
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Affiliation: | Department of Mathematics, University of Ioannina, PO Box 1186, 451 10 Ioannina, Greece |
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Abstract: | Some new results are given concerning the behavior of the oscillatory solutions of first or second order delay differential equations. These results establish that all oscillatory solutions x of a first or second order delay differential equation satisfy x(t)=O(v(t)) as t→∞, where v is a nonoscillatory solution of a corresponding first or second order linear delay differential equation. Some applications of the results obtained are also presented. |
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Keywords: | Delay differential equation Oscillatory solutions Nonoscillatory solutions |
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