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In this paper, we establish some oscillation criteria for nonau-tonomous second order neutral delay dynamic equations(x(t) ± r(t)x(γ(t)))ΔΔ + H (t,x(h₁(t)),xΔ (h₂(t))) = 0 on a time scale T. Oscillatory behavior of such equations is not studiedbefore. This is a rst paper concerning these equations. The resultsare not only can be applied on neutral dierential equations when T =R, neutral delay dierence equations when T = N and for neutral delayq dierence equations when T = qN for q > 1, but also improved mostprevious results. Finally, we give some examples to illustrate our mainresults. These examples are not discussed before and there is no previoustheorems determine the oscillatory behavior of such equations.
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참고문헌 (17)
참고문헌 신청
B. G. Zhang / 2005 / Oscillation of second-order nonlinear delay dynamic equations on time scales / Comput. Math. Appl 49 (4) : 599 ~ 609
E. Akin-Bohner / / Oscillation criteria for a certain class of second order Emden-Fowler dynamic equations / Electronic Transaction of Numerical Anal
G. S. Ladde / 1987 / Oscillation Theory of Differential Equations with Deviating Arguments, Monographs and Textbooks in Pure and Applied Mathematics, 110 / Marcel Dekker, Inc.
H. A. Agwo / / On the oscillation of second order nonlinear neutral delay dynamic equations
H. A. Agwo / 2006 / On the oscillation of second order neutral delay dynamic equations with several delays and variable coefficients / Int. J. Appl. Math. Stat 5 (S06) : 65 ~
E. Akin-Bohner / / Oscillation criteria for a certain class of second order Emden-Fowler dynamic equations / Electronic Transaction of Numerical Anal
G. S. Ladde / 1987 / Oscillation Theory of Differential Equations with Deviating Arguments, Monographs and Textbooks in Pure and Applied Mathematics, 110 / Marcel Dekker, Inc.
H. A. Agwo / / On the oscillation of second order nonlinear neutral delay dynamic equations
H. A. Agwo / 2006 / On the oscillation of second order neutral delay dynamic equations with several delays and variable coefficients / Int. J. Appl. Math. Stat 5 (S06) : 65 ~
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