[PDF] Top 20 Oscillation and asymptotic behavior of third order neutral differential equations with distributed deviating arguments

... In the special case when α = , (.) reduces to (.). Now the following question arises. Could we obtain new Philos-type oscillation criteria for (.) by using a generalized Riccati transformation which differs ... 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 ... 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 ... See full document

... totic behavior of third-order differential ...some oscillation criteria for a third-order neutral delay differential ... See full document

... of oscillation of third-order neutral differential ...the third-order neutral differential equations to the first-order differential equations or ... 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

... and asymptotic behavior of 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 ... See full document

... of third-order quasi-linear differential equations with continuously distributed delay is ...for oscillation or certain asymptotic behavior of nonoscillatory solutions of ... 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

... and asymptotic behavior of various classes of differential equations during the past decades; we refer the reader to [–] and the references cited ...the oscillation of ... See full document

... Differential equations arise in modeling situations to describe population growth, biol- ogy, economics, chemical reactions, neural networks, and so forth; see, ...oscillatory behavior of a ... 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

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

... Neutral-type equations of the form ...oscillatory behavior of solu- tions of such equations in various special cases has been both theoretical and practical interest over the past few decades, ... See full document

... first order 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 ... See full document

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

... In Section 2, we present some preliminary lemmas and in Section 3, we establish some sufficient conditions which ensure that all solutions of equation (1.1) are either oscillatory or con[r] ... See full document

... This paper deals with boundary value problems for second-order differential equations with deviating arguments. Some sufficient conditions are formulated under which such problems have ... See full document

... 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

... 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, ... See full document