The distribution of zeros of oscillatory solutions for second order nonlinear neutral delay differential equations
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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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
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ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 2017
ISSN: 0893-9659
DOI: 10.1016/j.aml.2016.07.011