Geodesic
Oscillation criteria for first-order nonlinear differential equations with several delays
Filomat, Tome 36 (2022) no. 16, p. 5665

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DOI

In this article, we study a first order nonlinear delay differential equation x ′ (t) + m i=1 p i (t) f i x(τ i (t)) = 0, t ≥ t 0 , where p i (t) and τ i (t) are the functions of nonnegative of real numbers and τ i (t) are not necessarily monotone for 1 ≤ i ≤ m. Also, we present new sufficient conditions for the oscillatory solutions of this equation. Our results essentially improve the conditions in the literature. Finally, we give examples to illustrate our results.
DOI : 10.2298/FIL2216665D
Classification : 34C10, 34K06, 34K11
Keywords: Nonlinear delay differential equation, oscillation of solutions 
Julio G Dix; Nurten Kılıç; Özkan Öcalan. Oscillation criteria for first-order nonlinear differential equations with several delays. Filomat, Tome 36 (2022) no. 16, p. 5665 . doi: 10.2298/FIL2216665D
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     author = {Julio G Dix and Nurten K{\i}l{\i}\c{c} and \"Ozkan \"Ocalan},
     title = {Oscillation criteria for first-order nonlinear differential equations with several delays},
     journal = {Filomat},
     pages = {5665 },
     year = {2022},
     volume = {36},
     number = {16},
     doi = {10.2298/FIL2216665D},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2216665D/}
}
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