[PDF] Top 20 Classifications of solutions of second order nonlinear neutral differential equations of mixed type

... of solutions of second order nonlinear neutral delay differential equations with positive and negative ...for Neutral Differential Equations with ...Differential ... See full document

... 16 x(t + 1) = 0, t ≥ 2 (4.4) where z(t) = x(t) + x(t − 1) + x(t + 1). We can see that all conditions of Theorem 3.2 satisfied except the condition (1.2). Therefore all the solutions of equation (4.4) not ... See full document

... periodic differential equations. Such equations have diversified applica­ tion in the field o f biology, neural networks, physics, chemistry, engineering, and so on [4 - ...these equations ... See full document

... delay differential equation (2) is a system consisting of a differential equation together with an impulsive condition in which the second order derivative of the unknown function appears in ... See full document

... the mixed type impulsive neutral differential equation problem ...the mixed type of nonlinear delay with an Euler form of impulsive neutral differential equations ... See full document

... oscillatory solutions of differential equations with delay and nonlinear systems in view of Ważievski’s retract principle and later extended to retarded functional differential equations by ... See full document

... these equations have the structure of continuous dynamical systems within intervals of certain ...the equations are thus similar in structure to those found in certain “sequential-continuous” models of ... See full document

... have also been employed to prove the existence of multiple periodic solutions of mixed type differential equations in []. When (.) reduces to the special case, see system (.), we obtain a ... See full document

... differential/difference equations has been the object of many researchers over the last ...differential/difference equations of fractional order has drawn significant ...of solutions have been the ... See full document

... of solutions to different classes of differential equations due to the fact that they have numerous appli- cations in natural sciences and engineering; see, ...of second-order and ... See full document

... impulsive differential equations is an important branch of differential ...impulsive differential equations emerging as an important area of research, since such equations have ... See full document

... x(t) + p(t)x(t − τ ) + q(t)G x(t − σ) = f (t) (2) Also, sufficient conditions are obtained for existence of bounded nonoscillatory solutions of (2). The motivation of the present work come from the above studies. ... 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

... of solutions of differential equations with deviating ...of differential equations ...the nonlinear neutral delay differential equation ... 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 ...of solutions of equation ... 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

... periodic solutions of functional di ff erential equations, one commonly uses methods of fixed point theory, coincidence degree theory, Fourier anal- ysis, and so ...periodic solutions for a class ... 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

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

... see also the paper by Han et al. [] where inaccuracies in [] were corrected and new oscillation criteria for () were obtained [, Theorems . and .]. We conclude this brief review of the literature by mentioning ... See full document