On nonoscillation of advanced differential equations with several terms

E. Braverman; L. Berezansky

doi:10.1155/2011/637142

On nonoscillation of advanced differential equations with several terms

E. Braverman, L. Berezansky

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

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

Original language	English
Article number	637142
Journal	Abstract and Applied Analysis
Volume	2011
DOIs	https://doi.org/10.1155/2011/637142
State	Published - 22 Jun 2011

ASJC Scopus subject areas

Analysis
Applied Mathematics

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title = "On nonoscillation of advanced differential equations with several terms",

abstract = "Existence of positive solutions for advanced equations with several terms x (t)+ Σk=1m ak(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.",

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N2 - Existence of positive solutions for advanced equations with several terms x (t)+ Σk=1m ak(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.

AB - Existence of positive solutions for advanced equations with several terms x (t)+ Σk=1m ak(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.

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On nonoscillation of advanced differential equations with several terms

Abstract

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