On nonoscillation of mixed advanced-delay differential equations with positive and negative coefficients

Leonid Berezansky; Elena Braverman; Sandra Pinelas

doi:10.1016/j.camwa.2009.04.010

On nonoscillation of mixed advanced-delay differential equations with positive and negative coefficients

Leonid Berezansky, Elena Braverman, Sandra Pinelas

Department of Mathematics

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

14 Scopus citations

Abstract

For a mixed (advanced-delay) differential equation with variable delays and coefficients over(x, ̇) (t) ± a (t) x (g (t)) ∓ b (t) x (h (t)) = 0, t ≥ t₀ where a (t) ≥ 0, b (t) ≥ 0, g (t) ≤ t, h (t) ≥ t explicit nonoscillation conditions are obtained.

Original language	English
Pages (from-to)	766-775
Number of pages	10
Journal	Computers and Mathematics with Applications
Volume	58
Issue number	4
DOIs	https://doi.org/10.1016/j.camwa.2009.04.010
State	Published - 1 Aug 2009

Keywords

Advanced equations
Delay equations
Mixed differential equations
Positive solutions

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10.1016/j.camwa.2009.04.010

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title = "On nonoscillation of mixed advanced-delay differential equations with positive and negative coefficients",

abstract = "For a mixed (advanced-delay) differential equation with variable delays and coefficients over(x,{\. }) (t) ± a (t) x (g (t)) ∓ b (t) x (h (t)) = 0, t ≥ t0 where a (t) ≥ 0, b (t) ≥ 0, g (t) ≤ t, h (t) ≥ t explicit nonoscillation conditions are obtained.",

keywords = "Advanced equations, Delay equations, Mixed differential equations, Positive solutions",

author = "Leonid Berezansky and Elena Braverman and Sandra Pinelas",

note = "Funding Information: First author was partially supported by Israeli Ministry of Absorption. Second author was partially supported by the NSERC Research Grant.",

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AU - Berezansky, Leonid

AU - Braverman, Elena

AU - Pinelas, Sandra

N1 - Funding Information: First author was partially supported by Israeli Ministry of Absorption. Second author was partially supported by the NSERC Research Grant.

PY - 2009/8/1

Y1 - 2009/8/1

N2 - For a mixed (advanced-delay) differential equation with variable delays and coefficients over(x, ̇) (t) ± a (t) x (g (t)) ∓ b (t) x (h (t)) = 0, t ≥ t0 where a (t) ≥ 0, b (t) ≥ 0, g (t) ≤ t, h (t) ≥ t explicit nonoscillation conditions are obtained.

AB - For a mixed (advanced-delay) differential equation with variable delays and coefficients over(x, ̇) (t) ± a (t) x (g (t)) ∓ b (t) x (h (t)) = 0, t ≥ t0 where a (t) ≥ 0, b (t) ≥ 0, g (t) ≤ t, h (t) ≥ t explicit nonoscillation conditions are obtained.

KW - Advanced equations

KW - Delay equations

KW - Mixed differential equations

KW - Positive solutions

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DO - 10.1016/j.camwa.2009.04.010

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JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

SN - 0898-1221

IS - 4

ER -

On nonoscillation of mixed advanced-delay differential equations with positive and negative coefficients

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Keywords

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