TY - JOUR
T1 - NEW OSCILLATION CRITERIA FOR FIRST ORDER LINEAR DIFFERENTIAL EQUATIONS WITH NON-MONOTONE DELAYS
AU - Attia, Emad R.
AU - El-Morshedy, Hassan A.
N1 - Publisher Copyright:
© 2022, Wilmington Scientific Publisher. All rights reserved.
PY - 2022
Y1 - 2022
N2 - This paper is concerned with the oscillation of the first order linear delay differential equation x′(t) + q(t)x(τ (t)) = 0, t ≥ t0, where q, τ ∈ C([t0, ∞), [0, ∞)), τ (t) ≤ t, such that lim τ (t) = ∞. Several new oscillation t→∞ criteria of iterative and non-iterative types are obtained. Two examples are presented to show the strength and applicability of these criteria over known ones.
AB - This paper is concerned with the oscillation of the first order linear delay differential equation x′(t) + q(t)x(τ (t)) = 0, t ≥ t0, where q, τ ∈ C([t0, ∞), [0, ∞)), τ (t) ≤ t, such that lim τ (t) = ∞. Several new oscillation t→∞ criteria of iterative and non-iterative types are obtained. Two examples are presented to show the strength and applicability of these criteria over known ones.
KW - delay differential equations
KW - non-monoton delay
KW - Oscillation criteria
UR - http://www.scopus.com/inward/record.url?scp=85134569023&partnerID=8YFLogxK
U2 - 10.11948/20210402
DO - 10.11948/20210402
M3 - Article
AN - SCOPUS:85134569023
SN - 2156-907X
VL - 12
SP - 1579
EP - 1594
JO - Journal of Applied Analysis and Computation
JF - Journal of Applied Analysis and Computation
IS - 4
ER -