[PDF] Top 20 Periodic solutions for a kind of neutral functional differential systems

... of neutral systems of various classes with time de- lays has received an ever-growing interest from many ...for neutral time delay ...of periodic solutions of neutral equations ... See full document

... By the integral mean value theorem, there exists a constant ξ ∈ (, T ) such that g( –r  x(ξ + s)dα(s)) – q = . So (H) implies that | –r  x(ξ + s) dα(s) | ≤ M. Since  –r (α) =  and α(–r) = α() on t ∈ [–r, ], by ... See full document

... positive periodic solutions of a kind of p-Laplacian neutral differential equation with a ...positive periodic solutions for the considered ... See full document

... Impulsive differential equations are now recognized as an excellent source of models to simu- late processes and phenomena observed in theoritical physics, chemical technology, population dynamics, industrial ... See full document

... of solutions with some of the previously enumerated properties or another type of almost periodicity to neutral functional differential equations have been made in 10, 11, for the case of ... See full document

... as |t| → +∞ are different from the corresponding ones used in the past and the exis- tence of kT -periodic solutions to Eq. (.) is obtained by using an extension of Mawhin’s continuation theorem, which is ... See full document

... lower-order neutral functional differential equations, while studies on higher-order neutral functional differential equations are rather infrequent, especially on higher-order p-Laplacian ... See full document

... Partial neutral functional differential equations (PNFDEs), arising from many biological, chemical, and physical systems, become an interesting and important field in dynamical ... See full document

... a periodic boundary value problem for third-order linear differential equations,” Differentsial’nye Uravneniya, ...“Periodic solutions of second-order nonautonomous dynamical systems,” ... See full document

... the Differential Transformation Method (DTM) for finding the exact and approximate solutions of neutral functional-differential equations with proportional ...partial ... See full document

... almost periodic differential ...both differential and differ­ ence type. The solutions o f these equations are continuous with the continuous dynamical systems ... See full document

... advanced functional differential equations with piecewise constant arguments, see, for example in literature ...of neutral functional differential equations with piecewise constant ... See full document

... the parameters of (1.1) can be found in [1, 2]. It is well known that the variation of the envi- ronment plays an important role in many biological and ecological dynamical systems. In particular, periodically ... See full document

... In the proof of our results on the existence of periodic solutions, we use the following generalized Borsuk theorem in coincidence degree theory of Gaines and Mawhin []. Lemma . Let X and Z be real ... See full document

... of periodic solu- tions for neutral differential ...p-Laplacian neutral functional differential system and obtained the existence of periodic ...second-order neutral differential ... 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 more accurate ... See full document

... [5] Adimy, M., Bouzahir, H. and Ezzinbi, K. (2004) Existence and Stability for Some Partial Nentral Functional Differential Equations with Infinite Delay. Journal of Mathematical Analysis and Applications , ... See full document

... There are many papers studying the periodic orbits of the fourth order diffe- rential systems and equations (see for instance [1]-[11]). But our main tool for studying the periodic orbits of the ... See full document

... to periodic problems of the second-order delay equation () as well as Equation () (for Equation (), see ...positive periodic solutions of Equation ... See full document

... of solutions of differential ...ordinary differential equations can be found in the monographs [1–3] and the references cited ...fractional differential equations have been developed rapidly, ... See full document