On oscillation of second-order neutral dynamic equations
نویسندگان
چکیده
منابع مشابه
Oscillation of Second-Order Neutral Dynamic Equations with Mixed Arguments
We present some new oscillation criteria for a class of half-linear second-order neutral dynamic equations with mixed arguments. An example is given to illustrate the main results.
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In this paper we will establish some oscillation criteria for the second-order nonlinear neutral delay dynamic equation ( r(t) (( y(t)+ p(t)y(t − τ))∆)γ )∆ + f (t, y(t − δ))= 0 on a time scale T; here γ > 0 is a quotient of odd positive integers with r(t) and p(t) real-valued positive functions defined on T. To the best of our knowledge nothing is known regarding the qualitative behavior of the...
متن کاملOn 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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ژورنال
عنوان ژورنال: Advances in Difference Equations
سال: 2013
ISSN: 1687-1847
DOI: 10.1186/1687-1847-2013-340