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On Nonoscillation of Advanced Differential Equations with Several Terms

L. Berezansky and E. Braverman

Abstract and Applied Analysis, 2011, vol. 2011, issue 1

Abstract: Existence of positive solutions for advanced equations with several terms x˙(t)+∑k=1mak(t)x(hk(t))=0, hk(t)≥t is investigated in the following three cases: (a) all coefficients ak are positive; (b) all coefficients ak are negative; (c) there is an equal number of positive and negative coefficients. Results on asymptotics of nonoscillatory solutions are also presented.

Date: 2011
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https://doi.org/10.1155/2011/637142

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