[PDF] Top 20 A survey on the oscillation of differential equations with several deviating arguments

... Moreover, in view of Theorem ., it is an interesting problem to investigate equation . with non-monotone arguments and derive sufficient oscillation conditions, involving lim sup as co[r] ... See full document

... the oscillation of all solutions of differential equations with several not necessarily monotone deviating arguments and nonnegative coefficients are ...differential equations of ... See full document

... of oscillation of ordinary differential equations with impulses has received attention much later ...differential equations has been well established, the oscillation theory of such ... See full document

... the arguments are not necessarily ...improve several known criteria existing in the literature, which are briefly re- viewed below for the reader’s ... See full document

... parabolic equations with impulsive effects under two different boundary ...functional differential inequalities, we established several sufficient ... See full document

... Abstract. The authors obtain 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 ... See full document

... last several years, an increasing attention has been given to the oscillation theory and asymptotic behavior of various classes of second-order and high-order differential equations and dynamic ... See full document

... In the following, we present some background details that motivate our research. Re- cently, Baculíková and Lacková [], Džurina and Hudáková [], Li et al. [, ], and Sun et al. [] established some ... See full document

... asymptotic criteria for (.) have been reported in [, , ]. So far, there are few results dealing with the asymptotic properties of third-order differential equations with nonpos- itive coefficients; we refer ... 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 ...the survey paper by Agarwal et ... 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 equations (or inequal- ...dynamic ... See full document

... with deviating arguments have been extensively studied; see, for example, papers [–] and references cited ...general oscillation theory of differential equa- tions the reader is referred to the ... See full document

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

... 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

... order differential equations have been studied by many ...neutral differential eq- uations with deviating arguments of the form ... See full document

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

... Onose, Asymptotic behavior of nonoscillatory solutions of functional differential equations of arbitrary order, J.. Onose, Nonoscillation theorems for differential equations with deviati[r] ... See full document

... Thus, the sign of the delay functions being arbitrary, the equations of the considered sys- tem (.) may contain both types of deviation of argument i.e. both delay and advance. As far as we know, there are no ... See full document

... Tuncay Candan received his M.Sc and Ph.D degree in Applied Mathematics from the Department of Mathematics at Iowa State University, USA. He is currently a Professor of Mathematics at American University of the Middle ... See full document