[PDF] Top 20 ON THE OSCILLATION OF A THIRD ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH NEUTRAL TYPE

... Oscillation of second order nonlinear differ- ential equation with sublinear neutral term // Differential Equations and Applications, 2016.. Oscillation of third-order neutral differenti[r] ... See full document

... the oscillation of all solutions of nonlinear neutral delay differential equations are established aiming at extending and/or improving some well known results in the ...the neutral ... See full document

... 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

... Thandapani, Oscillatory and nonoscillatory behavior of second order neutral delay difference equations, Math.. Thandapani, Oscillatory and nonoscillatory behavior of second order neutral[r] ... See full document

... of equations with nonnegative neutral coefficients; see, ...for equations with nonpositive neutral coefficients, there are relatively fewer results in the literature; see [3, 4, 6, 11, 14, ... 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

... 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

... Our principal goal in this paper is to derive new oscillation criteria for equation () with- out requiring restrictive conditions () and (). Developing further ideas from the paper by Hasanbulli and Rogovchenko ... 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

... Differential equations with distributed deviating arguments are often used for model- ing various problems arising in the engineering and natural ...such equations is crucial for applications; see Wang ... See full document

... The oscillation criteria are investigated for all solutions of even- order neutral differential ...the oscillation of the higher order equation to the oscillation of the ... 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

... 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

... of differential equations with deviating ...the oscillation of differential equations ...the nonlinear neutral delay differential equation ... See full document

... By using Riccati transformation technique, we established sufficient conditions which insure that solution of class of third order neutral delay differential equation is oscillatory or tends ... See full document

... Philos-type oscillation criteria for second order nonlinear neutral delay dynamic equations on time scales, ...Long, Oscillation criteria for quasi-linear neutral ... See full document

... 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 references cited ... 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 equation or ...for oscillation ... 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 ... See full document

... second 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