TY - JOUR
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.
N1 - Publisher Copyright:
© 2023, Springer Nature Switzerland AG.
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 - http://www.scopus.com/inward/record.url?scp=85168394852&partnerID=8YFLogxK
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 -