New product-type oscillation criteria for first-order linear differential equations with several nonmonotone arguments

Emad R. Attia; Hassan A. El-Morshedy

doi:10.1186/s13661-023-01743-0

New product-type oscillation criteria for first-order linear differential equations with several nonmonotone arguments

Emad R. Attia
, Hassan A. El-Morshedy

Mathematics

Damietta University

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

1 Scopus citations

Abstract

We use an improved technique to establish new sufficient criteria of product type for the oscillation of the delay differential equation x′(t)+∑l=1mbl(t)x(σl(t))=0,t≥t0, with b_l, σ_l∈ C([t, ∞) , [0 , ∞)) such that σ_l(t) ≤ t and lim _t_→_∞σ_l(t) = ∞ , l= 1 , 2 , … , m . The obtained results are applicable for the nonmonotone delay case. Their strength is supported by a detailed practical example.

Original language	English
Article number	80
Journal	Boundary Value Problems
Volume	2023
Issue number	1
DOIs	https://doi.org/10.1186/s13661-023-01743-0
State	Published - Dec 2023

Keywords

Delay differential equations
Oscillation
Several nonmonotone delays

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10.1186/s13661-023-01743-0

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title = "New product-type oscillation criteria for first-order linear differential equations with several nonmonotone arguments",

abstract = "We use an improved technique to establish new sufficient criteria of product type for the oscillation of the delay differential equation x′(t)+∑l=1mbl(t)x(σl(t))=0,t≥t0, with bl, σl∈ C([t, ∞) , [0 , ∞)) such that σl(t) ≤ t and lim t→∞σl(t) = ∞ , l= 1 , 2 , … , m . The obtained results are applicable for the nonmonotone delay case. Their strength is supported by a detailed practical example.",

keywords = "Delay differential equations, Oscillation, Several nonmonotone delays",

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year = "2023",

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doi = "10.1186/s13661-023-01743-0",

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T1 - New product-type oscillation criteria for first-order linear differential equations with several nonmonotone arguments

AU - Attia, Emad R.

AU - El-Morshedy, Hassan A.

PY - 2023/12

Y1 - 2023/12

N2 - We use an improved technique to establish new sufficient criteria of product type for the oscillation of the delay differential equation x′(t)+∑l=1mbl(t)x(σl(t))=0,t≥t0, with bl, σl∈ C([t, ∞) , [0 , ∞)) such that σl(t) ≤ t and lim t→∞σl(t) = ∞ , l= 1 , 2 , … , m . The obtained results are applicable for the nonmonotone delay case. Their strength is supported by a detailed practical example.

AB - We use an improved technique to establish new sufficient criteria of product type for the oscillation of the delay differential equation x′(t)+∑l=1mbl(t)x(σl(t))=0,t≥t0, with bl, σl∈ C([t, ∞) , [0 , ∞)) such that σl(t) ≤ t and lim t→∞σl(t) = ∞ , l= 1 , 2 , … , m . The obtained results are applicable for the nonmonotone delay case. Their strength is supported by a detailed practical example.

KW - Delay differential equations

KW - Oscillation

KW - Several nonmonotone delays

UR - https://www.scopus.com/pages/publications/85168394852

U2 - 10.1186/s13661-023-01743-0

DO - 10.1186/s13661-023-01743-0

M3 - Article

AN - SCOPUS:85168394852

SN - 1687-2762

VL - 2023

JO - Boundary Value Problems

JF - Boundary Value Problems

IS - 1

M1 - 80

ER -

New product-type oscillation criteria for first-order linear differential equations with several nonmonotone arguments

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Keywords

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