[PDF] Top 20 Oscillation of Higher Order Neutral Type Periodic Differential Equations with Distributed Arguments

... 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

... article distributed under the Creative Commons Attribution License, which permits unrestricted use, dis- tribution, and reproduction in any medium, provided the original work is properly ... See full document

... of higher- and fourth-order differential equations have been studied by several authors, and several techniques have been proposed for obtaining oscillatory criteria for higher- and ... See full document

... Using the Riccati transformation technique, we present several sufficient conditions that guarantee that all solutions to a third-order differential equation with nonpositive neutral coefficients and ... See full document

... second order linear neutral impulsive ordinary differential equations with variable coefficients and constant retarded arguments and obtained sufficient conditions ensuring the ... See full document

... of equations was ...on oscillation theory of impulsive partial differential ...the oscillation of solutions of impulsive partial differential equations with or without deviating ... See full document

... almost periodic differential equations. Such equations have diversified applica­ tion in the field o f biology, neural networks, physics, chemistry, engineering, and so on [4 - ...these ... 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

... 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

... 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

... almost periodic differential equations. Such equations have diversified applica- tion in the field of biology, neural networks, physics, chemistry, engineering, and so on ...these equations have ... See full document

... The oscillation and asymptotic behavior of solutions for different classes of neu- tral differential equations and neutral dynamic equations on time scales is an active and important ... 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

... 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

... By employing a generalized Riccati transformation and integral averaging technique, two Philos-type criteria are obtained which ensure that every solution of a class of third-order neutral ... See full document

... The neutral differential equations find numerous applications in natural science and ...of distributed networks containing lossless transmission lines, see Hale ...the oscillation and ... 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

... 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

... the neutral operator is divided into two cases |c| / 1 and |c| 1, it is natural to study the neutral differential equation separately according to these two ...differential equations, and then by ... 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