[PDF] Top 20 Oscillation Theorems for a Second Order Delay Difference Equations

... to Second Order Nonlinear Difference Equations, International Journal of Mathematics and Statistics Invention (IJMSI) E- ISSN: 2321 – 4767 P-ISSN: 2321 - 4759 Volume 1 Issue 1 ǁ ... See full document

... BG: Oscillation Theory for Functional Differential ...BS: Oscillation of nonlinear second order neutral delay differential ...G: Oscillation Theory of Delay Differential ... See full document

... have been studied extensively in recent years, see e.g. [1-21] and the references quoted therein. Moreover, in 2011, Wang [22] established some oscillation criteria for Equation (1.1) firstly, some new sharper ... See full document

... OSCILLATION THEOREMS FOR SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH DEVIATING ARGUMENTS.. GRACE Department of Mathematics P.[r] ... See full document

... In Section 2, we present some preliminary lemmas and in Section 3, we establish some sufficient conditions which ensure that all solutions of equation (1.1) are either oscillatory or con[r] ... See full document

... of delay dynamic equations on time scales, in this paper, we consider the second-order nonlinear delay dynamic equation on time scales ... See full document

... new oscillation criteria for the second-order nonlinear delay dynamic equations r tx Δ t γ Δ ptfxτ t 0 on a time scale T; here γ > 0 is a quotient of odd positive integers with r and ... See full document

... of difference equations of various types, for examples see [2–9, 13, 15, 18, 19] Our main goal in this paper is to give first some new results on the oscillatory behavior of all solutions of the ... See full document

... of oscillation of differential equations, there are two techniques which are used to reduce the higher-order equations to the first-order Riccati equation or ...for oscillation ... See full document

... presented that not only complement and improve those related results in the literature, but also improve some known results for a second-order delay dynamic equation without a neutral term. Further, ... See full document

... the oscillation constant. Other results on the oscillation constant for difference equations can be found in [–] and the references cited ... See full document

... In this paper, we investigate the asymptotical behavior for a partial sum sequence of independent random variables, and we derive a law of the iterated logarithm type. It is worth to point out that the partial sum ... See full document

... Remark . In this paper, we establish some new oscillation theorems for (.) in the case where p is finite or infinite on I. The criteria obtained extend the results in [] and improve those reported in ... See full document

... in order to unify contin- uous and discrete ...the oscillation of dynamic equations on time scales is a new area of applied mathematics, and work in this topic is rapidly ...the oscillation ... See full document

... interval oscillation criteria were recently extended to second-order dynamic equations in ...the second order nonlinear dynamic equations on time scales can be found in ... See full document

... [3] R. P. Agarwal, E. Thandapani, and P. J. Y. Wong, Oscillations of higher-order neutral differ- ence equations, Appl. Math. Lett. 10 (1997), no. 1, 71–78. CMP 97 07. Zbl 890.39019. [4] M. P. Chen, B. S. ... See full document

... forward difference operator defined by ∆x(n) = x(n + 1) − x(n), γ > 0 is a quotient of odd positive integers, {p(n)} is a positive real sequence, {q(n)} and {h(n)} are nonnegative real sequences, τ and σ are ... See full document

... presented oscillation criteria which improved the existing results for the ...the oscillation of all solu- tions of equation ...new oscillation criteria, which improve and complement that given in ... See full document

... S.enel, Oscillation theorems for the second order damped nonlinear dynamic equation on time scales, Contemp. Zhang, Oscillation of second-order half-linear delay dynamic equations with d[r] ... See full document

... Thandapani, Oscillatory and nonoscillatory behavior of second order neutral delay difference equations, Math.. Thandapani, Oscillatory and nonoscillatory behavior of second order neutral[r] ... See full document