Oscillation of first order linear differential equations with several non-monotone delays

E. R. Attia; V. Benekas; H. A. El-Morshedy; I. P. Stavroulakis

doi:10.1515/math-2018-0010

Oscillation of first order linear differential equations with several non-monotone delays

E. R. Attia
, V. Benekas
, H. A. El-Morshedy
, I. P. Stavroulakis

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

10 Scopus citations

Abstract

Consider the first-order linear differential equation with several retarded arguments where the functions p_k, τ_k C([t₀, ∞), R⁺), τ_k(t) < t for t ≥ t₀ and lim_t→∞ τ_k(t) = ∞, for every k = 1, 2, ..., n. Oscillation conditions which essentially improve known results in the literature are established. An example illustrating the results is given.

Original language	English
Pages (from-to)	83-94
Number of pages	12
Journal	Open Mathematics
Volume	16
Issue number	1
DOIs	https://doi.org/10.1515/math-2018-0010
State	Published - 23 Feb 2018
Externally published	Yes

Keywords

Differential equations
Non-monotone delays
Oscillation

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10.1515/math-2018-0010

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title = "Oscillation of first order linear differential equations with several non-monotone delays",

abstract = "Consider the first-order linear differential equation with several retarded arguments where the functions pk, τk C([t0, ∞), R+), τk(t) < t for t ≥ t0 and limt→∞ τk(t) = ∞, for every k = 1, 2, ..., n. Oscillation conditions which essentially improve known results in the literature are established. An example illustrating the results is given.",

keywords = "Differential equations, Non-monotone delays, Oscillation",

author = "Attia, \{E. R.\} and V. Benekas and El-Morshedy, \{H. A.\} and Stavroulakis, \{I. P.\}",

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AU - Attia, E. R.

AU - Benekas, V.

AU - El-Morshedy, H. A.

AU - Stavroulakis, I. P.

PY - 2018/2/23

Y1 - 2018/2/23

N2 - Consider the first-order linear differential equation with several retarded arguments where the functions pk, τk C([t0, ∞), R+), τk(t) < t for t ≥ t0 and limt→∞ τk(t) = ∞, for every k = 1, 2, ..., n. Oscillation conditions which essentially improve known results in the literature are established. An example illustrating the results is given.

AB - Consider the first-order linear differential equation with several retarded arguments where the functions pk, τk C([t0, ∞), R+), τk(t) < t for t ≥ t0 and limt→∞ τk(t) = ∞, for every k = 1, 2, ..., n. Oscillation conditions which essentially improve known results in the literature are established. An example illustrating the results is given.

KW - Differential equations

KW - Non-monotone delays

KW - Oscillation

UR - https://www.scopus.com/pages/publications/85043255702

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DO - 10.1515/math-2018-0010

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EP - 94

JO - Open Mathematics

JF - Open Mathematics

IS - 1

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Oscillation of first order linear differential equations with several non-monotone delays

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Keywords

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