On Nonoscillation of Advanced Differential Equations with Several Terms

L. Berezansky and E. Braverman

Abstract and Applied Analysis, 2011, vol. 2011, 1-14

Abstract:

Existence of positive solutions for advanced equations with several terms ∑ ̇ 𠑥 ( 𠑡 ) + 𠑚 𠑘 = 1 𠑎 𠑘 ( 𠑡 ) 𠑥 ( ℎ 𠑘 ( 𠑡 ) ) = 0 , ℎ 𠑘 ( 𠑡 ) ≥ 𠑡 is investigated in the following three cases: (a) all coefficients 𠑎 𠑘 are positive; (b) all coefficients 𠑎 𠑘 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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:637142

DOI: 10.1155/2011/637142

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