[PDF] Top 20 Oscillation Conditions for a Type of Second Order Neutral Differential Equations with Impulses

... of second order linear neutral impulsive ordinary differential equations with variable coefficients and constant retarded arguments and obtained sufficient conditions ensuring ... See full document

... difference equations, and dynamic equations on time scales have an enor- mous potential for applications in biology, engineering, economics, physics, neural net- works, social sciences, ...of ... See full document

... some oscillation criteria for solutions of ...general-type neutral dif- ferential ...the oscillation of solutions of ...concrete oscillation criteria for solutions of ... 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

... 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

... 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

... Riccati type transformation which has been used to reduce equation (E) to a first-order Riccati ...the oscillation result of Džurina and Stavroulakis [37] by employing the Riccati ... See full document

... A time scale T is an arbitrary nonempty closed subset of the real numbers. The theory of time scales was introduced by Hilger [6] in his Ph.D. thesis in 1988 in order to unify continuous and discrete analysis. ... See full document

... 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

... 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

... 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

... presented oscillation criteria which improved the existing results for the ...sufficient conditions for the oscillation of all solu- tions of equation ...new oscillation criteria, which improve ... See full document

... sufficient conditions for the oscillation of solutions for different classes of second order dif- ferential ...the oscillation problem for ...nonlinear equations with damping ... 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 ... See full document

... Recently, neutral delay difference equations, that is, difference equations in which the highest order difference of the unknown sequence appears both with and without delays, have ... See full document

... sufficient conditions which insure that solution of class of third order neutral delay differential equation is oscillatory or tends to ... See full document

... The neutral differential equations find numerous applications in natural science and ...the oscillation and nonoscillation of solutions of various types of neutral functional ... See full document

... new oscillation criteria for equation () with- out requiring restrictive conditions () and ...the oscillation of () in the case where γ ≥ ... See full document

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