[PDF] Top 20 Oscillation criteria in neutral equations of n order with variable coefficients

... GRAMMATIKOPOULOS, M.K., LADAS, G., and SFICAS, Y.G., Oscillation and Asymptotic Behavior of Neutral Equations with Variable Coefficients, Radovi Matematicki, 21986, 279-303... and SFICAS[r] ... See full document

... The paper is organized as follows. In the next section, by developing a Riccati transformation technique some sufficient conditions for oscillation of all solutions of 1.1 on time scales are established. In Section ... See full document

... dynamic equations on time scales, see, for example, 1–3 and the references cited ...the oscillation and nonoscillation of solutions of ordinary and neutral dynamic equations on time scales has ... See full document

... Equations of this type arise in a number of important applications such as problems in population dynamics when maturation and gestation are included, in cobweb mod- els, in economics where demand depends on the ... See full document

... nonlinear neutral delay dynamic equations with nonpositive neutral ...noncanonical neutral differential equations. New oscillation criteria are established that complement ... See full document

... dynamic equations on time scales, or mea- sure chains, and we refer the reader to the landmark paper of Hilger [] for a comprehen- sive treatment of the ...the oscillation and non-oscillation of ... See full document

... difference equations has received much attention in recent years due to its extensive applications in computer, probability theory, queuing problems, sta- tistical problems, stochastic time series, combinatorial ... See full document

... Oscillation criteria are established for third-order neutral delay differential equations with deviating ...These criteria extend and generalize those results in the ... 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, biology and physics (see for ... See full document

... Saker, Asymptotic Behavior of Solutions of a Third-Order Non-linear Dynamic Equation on Time Scales, Journal of Computational and Applied Mathematics 181, (2005) 92-102. Thandapani, O[r] ... See full document

... Abstract In this article, some new oscillation criterion for the second order Emden-Fowler functional differential equation of neutral type.. Our results improve some well-known results w[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

... the oscillation theory of neutral differential ...the oscillation criteria usually contain term min {q(t), q(τ ...two equations (in the original variable and in the shifted ... See full document

... The purpose of this paper is to obtain a new sufficient condition for oscillation of (.). The result obtained is essentially new for equations (.)-(.). This paper is organized as follows. In Section , ... See full document

... investigate oscillation and nonoscillation of certain second order neutral dynamic equations with positive and negative ...dynamic equations along with some additional estimates on ... See full document

... where ∞ r –1/ γ (s) ds = ∞. Based on the comparison with first order delay equations and by employ the Riccati substitution technique, we improve and complement a number of well-known results. Some examples ... See full document

... Remark . We establish two classes of oscillation criteria for (.) without requiring the restrictive conditions (.). Note that these results are based on the assumption (.) and, as fairly noticed by ... See full document

... Donev; Oscillation criteria for the solutions of a first order neutral nonconstant delay impulsive differential equations with variable coefficients, ...and ... See full document

... A neutral impulsive differential equation ( 1 . 1 ) with constant delay is a system consisting of a differential equation together with an impulsive condition in which the second order derivative of the ... See full document

... of neutral delay differential equations presents com- plications and the results which are true for neutral differential equations may not be true for nonneutral differential ...of neutral ... See full document