[PDF] Top 20 Oscillation criteria for nonlinear functional differential equations of neutral type

... G: Oscillation Theory of Delay Differential Equations with ...B: Oscillation of first order delay differential ...BG: Oscillation Theory for Functional Differential ...EM: ... See full document

... that all conditions of Corollary 2.3 are satisfied, and hence every solution of equation (3.3) is almost oscillatory. Remark 3.1. Since the forcing terms e(t) in the above examples are positive, the results obtained in ... 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

... second-order nonlinear neutral delay dynamic equations with nonpositive neutral ...noncanonical neutral differential equations. New oscillation criteria are ... See full document

... 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 price at an ... See full document

... We obtain several oscillation criteria for a class of second-order nonlinear neutral differential equations. New theorems extend a number of related results reported in the literature ... See full document

... ON OSCILLATION CRITERIA FOR LINEAR AND NON-LINEAR NEUTRAL DELAY DIFFERENTIAL EQUATIONS’’ contains four chapters it is meant to study the basic concept and various interesting result on ... See full document

... logistic neutral differential equation to model a population of Daphnia ...first-order neutral differential equation the mature individuals produce some toxin which inhibits the rate the growth and if the ... See full document

... By introducing an auxiliary function of two variables and using a Riccati transformation, we establish some Kamenev type (cf. Philos []) interval oscillation criteria. Our methods are different from ... See full document

... the oscillation theory of second-order and higher-order neutral functional differential equations, in which the highest-order derivative of the unknown function is evaluated both at the present ... See full document

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

... delay equations and technique of Riccati transformation, we obtain a two different conditions ensure oscilla- tion of solutions of this equation, which extend and improve results of ...for oscillation of ... See full document

... second-order nonlinear differential equations with damping ...new oscillation criteria are obtained for every solution of the equations to be oscil- latory, which extend and ... See full document

... In this paper, a class of second-order nonlinear perturbed differential equation and its special cases are studied. By using the generalized Riccati transformation and well-known techniques, some new ... See full document

... In this paper, a class of mixed nonlinear impulsive differential equations is studied. When the delay σ (t) is variable, each given interval is divided into two parts on which the quotients of x(t – σ (t)) ... See full document

... An important tool in the study of oscillation is the integral averaging technique. Just as we can see, most oscillation results in 1, 3, 5, 7, 11, 12 involved the function class H. Say a function H Ht, s ... 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 are ... See full document

... differential equations that we study describe many phenomena and dynamical pro- cesses in various fields, and they have attracted a great deal of attention of researchers in physical sciences, mathematics, biology, ... See full document

... of functional differential equations have been studied in recent ...of functional differential equations received much less attention, which is due mainly to the technical ... See full document