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Masood, Fahd; Moaaz, Osama; Santra, Shyam S.; Fernandez-Gamiz, Unai; El-Metwally, Hamdy

On the monotonic properties and oscillatory behavior of solutions of neutral differential equations. (English) Zbl 1542.34050

Demonstr. Math. 56, Article ID 20230123, 23 p. (2023).
Oscillatory and asymptotic properties are studied for the following delay differential equation of even order \[ (\ell(u)(w^{(n-1)}(u))^r)'+q(u)x^r(\varrho(u))=0, \] where \(w=x+p\cdot (x\circ \tau)\), under some assumptions on \(r\), \(p\), \(n\), \(\varrho\), \(\tau\), and \(\ell\).
Reviewer: Leonid Berezansky (Be’er Sheva)

MSC:

34K11 Oscillation theory of functional-differential equations
34K40 Neutral functional-differential equations
34K25 Asymptotic theory of functional-differential equations

Keywords:

delay differential equations; oscillatory; even-order; asymptotic properties
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References:

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