Oscillatory behavior of second order unstable type neutral difference equations
نویسندگان
چکیده
منابع مشابه
Oscillatory 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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The oscillation behavior of solutions for higher-order delay dynamic equations of neutral type is investigated by making use of comparison with second-order dynamic equations. The method can be utilized to study other types of higher-order equations on time scales as well.
متن کاملSome Oscillation Results for Second Order Neutral Type Difference Equations
This paper is concerned with the oscillatory behavior of second order neutral difference equations. Four oscillation theorems for such equations are established and examples are given to illustrate the results. Mathematics subject classification (2010): 39A11.
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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.
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: Tamkang Journal of Mathematics
سال: 2005
ISSN: 2073-9826,0049-2930
DOI: 10.5556/j.tkjm.36.2005.136