[PDF] Top 20 Oscillation for higher order differential equations with a middle term

... has been considered. In [] sufficient conditions are obtained for the existence of solu- tions, which are equivalent to a polynomial. In [] a criterion is given for existence of nonoscillatory solutions with non-zero ... See full document

... the oscillation of fourth- and higher-order differential equations have been widely studied by many authors, who have provided many techniques for obtaining oscillatory criteria for fourth- and ... See full document

... According to the well-known results of Kiguradze and Chanturia [], the oscillation criteria are often accomplished by introducing the concepts of having property A and/or B. Such properties have been widely ... See full document

... The oscillation criteria are investigated for all solutions of even- order neutral differential ...the oscillation of the higher order equation to the oscillation of the ... See full document

... are established in delay ξ( t ) ≤ t and non-delay ξ( t ) = t cases, where n ≥ 2 is a positive integer, l is the ratio of positive odd integers. Many of the results are new for the corresponding higher order ... See full document

... the oscillation of solutions for different classes of second order dif- ferential ...the oscillation problem for ...nonlinear equations with damping ... See full document

... Remark . In this paper, we present some new oscillation criteria for the differential equation with a linear damping term (.). Our theorems can be applied to the cases where p ≥ , p ≤ , or p is an ... See full document

... second order neutral functional differential equations have applications in problems dealing with vibrating masses attached to an elastic bar and in some variational ...functional differential ... See full document

... In this article, we aim to establish some oscillation criteria for solutions of (1.1) which generalize and improve certain known results obtained for less general-type neutral dif- ferential equations. The ... See full document

... neutral differential equations find numerous applications in natural science and ...the oscillation and nonoscillation of solutions of various types of neutral functional differential ... See full document

... since it provides needed relationship between yt and y n−1 t, and this fact permit us to establish just one condition for asymptotic behavior of 1.2. If we try to apply the Philos and Staikos lemma to E, the strong ... See full document

... Oscillation of second order nonlinear differ- ential equation with sublinear neutral term // Differential Equations and Applications, 2016.. Oscillation of third-order neutral differenti[r] ... See full document

... ( j = 1,. . . ,k − 2). (1.8) In this paper, we will assume that the reader is familiar with the fundamental results and the standard notations of Nevanlinna’s value distribution theory of meromorphic functions (e.g., see ... See full document

... and KUSANO, T., Oscillation theory of higher order linear functional differential equations of neutral type, Hiroshima Math.. and ZHANG, B.G., Oscillation Theory of Differential Equation[r] ... See full document

... see also the paper by Han et al. [] where inaccuracies in [] were corrected and new oscillation criteria for () were obtained [, Theorems . and .]. We conclude this brief review of the literature by ... See full document

... In this paper, we are concerned with the oscillatory behavior of a class of fractional differential equations with functional terms. The fractional derivative is defined in the sense of the modified Riemann-Liouville ... See full document

... On the Oscillation of Solutions of a Class of Linear Fourth Order Differential Equations, Pacific J.. An Ordering of Oscillation Types for Anal.[r] ... See full document

... impulsive differential equations is an important branch of differential ...the oscillation theory of impulsive differential equations emerging as an important area of research, ... See full document

... Zhang, Oscillation of first order linear differential equations with deviating arguments, Differential Integral Equations, 1 (1988), 305-314.. [9] N.[r] ... See full document

... the oscillation and non-oscillation of solutions of dynamic equations on time ...dynamic equations whereas for higher order equations results are very ... See full document