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

Access to Document

10.1515/math-2018-0010

Cite this

@article{7ac95dba7097495cb4f39ac43519c53c,

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.\}",

note = "Publisher Copyright: {\textcopyright} 2018 Attia et al.",

year = "2018",

month = feb,

day = "23",

doi = "10.1515/math-2018-0010",

language = "English",

volume = "16",

pages = "83--94",

journal = "Open Mathematics",

issn = "1895-1074",

publisher = "Walter de Gruyter GmbH",

number = "1",

}

TY - JOUR

T1 - Oscillation of first order linear differential equations with several non-monotone delays

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 - http://www.scopus.com/inward/record.url?scp=85043255702&partnerID=8YFLogxK

U2 - 10.1515/math-2018-0010

DO - 10.1515/math-2018-0010

M3 - Article

AN - SCOPUS:85043255702

SN - 1895-1074

VL - 16

SP - 83

EP - 94

JO - Open Mathematics

JF - Open Mathematics

IS - 1

ER -

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this