On oscillation of second-order noncanonical neutral differential equations
نویسندگان
چکیده
منابع مشابه
On oscillation of neutral second order differential equations
Oscillation criteria for second order nonlinear neutral differential equations. 1 M.M.A.El-sheikh, 2 R.Sallam and 3 N.Mohamady 1Department of Mathematics , Faculty of Science, Taibah University,Madinah ,Saudi Arabia. 1,2 Department of Mathematics , Faculty of Science, Menofia University, Egypt. 3 Department of Mathematics , Faculty of Science, Benha University, Egypt. E-mail address: msheikh_19...
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Neutral differential equations find numerous applications in natural science and technology. For instance, they are frequently used for the study of distributed networks containing lossless transmission lines; see Hale 1 . In recent years, many studies have been made on the oscillatory behavior of solutions of neutral delay differential equations, and we refer to the recent papers 2–23 and the ...
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In this paper, some sufficient conditions are established for the oscillation of second-order neutral functional differential equation [ r(t)[x(t)+ p(t)x(τ(t))]′ ]′+q(t) f (x(σ(t))) = 0, t ≥ t0, where ∫ ∞ t0 dt/r(t) = ∞, or ∫ ∞ t0 dt/r(t) < ∞, 0 ≤ p(t) ≤ p0 < ∞. The results obtained here complement and improve some known results in the literature. 2010 Mathematics Subject Classification: 39A21,...
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Oscillation criteria, extended Kamenev and Philos-type oscillation theorems for the nonlinear second order neutral delay differential equation with and without the forced term are given. These results extend and improve the well known results of Grammatikopoulos et. al., Graef et. al., Tanaka for the nonlinear neutral case and the recent results of Dzurina and Mihalikova for the neutral linear ...
متن کاملOscillation of second order nonlinear neutral differential equations
The oscillation criteria are investigated for all solutions of second order nonlinear neutral delay differential equations. Our results extend and improve some results well known in the literature see ( [14] theorem 3.2.1 and theorem 3.2.2 pp.385-388). Some examples are given to illustrate our main results.
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ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2021
ISSN: 1029-242X
DOI: 10.1186/s13660-021-02595-x