[PDF] Top 20 New Results on Oscillation of even Order Neutral Differential Equations with Deviating Arguments

... Remark 1 Let   1 in Theorem 2.1, Theorem 2.1 reduces to Theorem A [6]; we obtain the same result in Theorem 2.2 in which we omit the assumption (4) in Theorem B [6]. Therefore, Theorem 2.1 and 2.2 are gen- eralizations ... See full document

... third-order neutral differential equations with distributed deviating arguments is either oscillatory or converges to ...These results extend and improve related criteria reported ... See full document

... of oscillation of differential equation has been the subject of many papers [1– ...the oscillation theory of the nth-order equations with delay and advanced argument, see [4–12, 23, 25, 27, 28, ... See full document

... some new results on the asymptotic proper- ties of solutions of a third order nonlinear neutral dynamic equation with dis- tributed deviating arguments on an arbitrary time scale ... See full document

... differential equations has been shown. Many papers deal with the oscillation of neutral differential equations which are often en- countered in applied problems in science and technology; see, ... See full document

... x(t) + αx(t − τ) + βx(t + τ) (n) = δq(t)x(t − g ) + δ p(t)x(t + h) = 0, (3.12) which was studied by Agarwal and Grace [3]. One can easily see that the oscillation crite- ria established in [3] can be recovered ... See full document

... differential equations have attracted noticeable interests due to their poten- tial applications in assorted fields, including physical sciences, technology, population dy- namics, and so ...differential ... See full document

... Candan Advances in Difference Equations 2013, 2013 112 http //www advancesindifferenceequations com/content/2013/1/112 R ES EA RCH Open Access Oscillation criteria for second order nonlinear neutral d[.] ... See full document

... The new theorems obtained improve and complement the relevant results reported in [, , , , , , ]. As is customary, all functional inequalities considered in the sequel are supposed to hold for ... See full document

... 0 < t < +∞, with the boundary conditions u(0) = A, u (0) = B, u (t) – au (t) = θ (t), – τ ≤ t ≤ 0; u (+∞) = C. We present sufficient conditions for the existence of a solution between a pair of lower and upper ... See full document

... some new oscillation criteria for the cases without any restrictions on g(t) and σ (t) and when n is even and ...Our results obtained here extend and improve the results of Chen and Qu ... See full document

... third order differential equations, see for example [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23], and the references cited ... See full document

... related results in the literature, but also improve some known results for a second-order delay dynamic equation without a neutral ...main results improve some related results ... See full document

... the results of this paper, uncovered the essential difference between partial differential equations with impulses, functional arguments and partial differential equations ... See full document

... the oscillation theory and asymptotic behavior of various classes of second-order and high-order differential equations and dynamic equations on time scales ...the oscillation ... See full document

... the neutral term of the equation is u (θ (t)). Obviously, the neutral term is different from the previous ...impulsive neutral differential equations of the first or the second order, but, ... See full document

... Oscillation criteria are established for third-order neutral delay differential equations with deviating arguments. These criteria extend and generalize those ... See full document

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

... dynamic equations on time scales which goes back to its founder Hilger [1] as an area of mathematics that has received a lot of ...in order to unify the study of differential and difference ... See full document

... Differential equations with delayed and advanced arguments (also called mixed differential equations or equations with mixed arguments) occur in many problems of economy, ... See full document