Oscillatory behavior of second order nonlinear delay differential equations with positive and negative neutral terms
نویسندگان
چکیده
منابع مشابه
On Oscillatory Nonlinear Second Order Neutral Delay Differential Equations
In this work, we investigate the oscillation criteria for second order neutral delay differential equations of the form (r(t)[y(t)+ p(t)y(δ (t))]′)′ +q(t)G(y(τ(t))) = 0 and (r(t)[[y(t)+ p(t)y(δ (t))]′]α )′ +q(t)(yβ (τ(t))) = 0, where α and β are the ratio of odd positive integers. Mathematics subject classification (2010): 34C10, 34C15.
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Oscillation criteria are obtained for solutions of forced and unforced second order neutral differential equations with positive and negative coefficients. These criteria generalize those of Manojlović, Shoukaku, Tanigawa and Yoshida (2006).
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In this paper, Oscillatory and asymptotic behaviour of solutions of a class of nonlinear fourth order neutral differential equations with positive and negative coefficients of the form (H) (r(t)(y(t) + p(t)y(t− τ))′′)′′ + q(t)G(y(t− α)) − h(t)H(y(t− β)) = 0 and (NH) (r(t)(y(t) + p(t)y(t− τ))′′)′′ + q(t)G(y(t− α)) − h(t)H(y(t− β)) = f(t) are studied under the assumption ∫ ∞
متن کاملOscillatory and Asymptotic Behavior of Solutions of Second Order Neutral Delay Differential Equations with “maxima”
The authors establish some new criteria for the oscillation and asymptotic behavior of all solutions of the equation. (a(t)(x(t) + p(t)x(τ(t)))) + q(t) max [σ(t),t] x(s) = 0, t ≥ t0 ≥ 0, where a(t) > 0, q(t) ≥ 0, τ(t) ≤ t, σ(t) ≤ t, α is the ratio of odd positive integers, and ∫∞ 0 dt a(t) < ∞. Examples are included to illustrate the results. AMS Subject Classification: 34K11, 34K99
متن کاملOscillatory Behavior of Second Order Neutral Differential Equations
Oscillation criteria are obtained for solutions of forced and unforced second order neutral differential equations with positive and negative coefficients. These criteria generalize those of Manojlović, Shoukaku, Tanigawa and Yoshida (2006).
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ژورنال
عنوان ژورنال: Differential Equations & Applications
سال: 2020
ISSN: 1847-120X
DOI: 10.7153/dea-2020-12-13