In this paper,we study the existence of almost periodic solutions of neutral differential difference equations with piecewise constant arguments via difference equation methods.
The solvability for a kind of singularly perturbed problem of nonlinear neutral differential difference system is considered. Using the boundary layer corrective method, the formal asymptotic solution is constructed. ...The solvability for a kind of singularly perturbed problem of nonlinear neutral differential difference system is considered. Using the boundary layer corrective method, the formal asymptotic solution is constructed. And applying the theory of fixed point, the uniform validity of the asymptotic expansions for solution is proved. Finally, an example is given to validate the results of the problems.展开更多
Consider the n-th order neutral differential equation where n > 1 is an odd integer, p(t) ∈ C([t0, ∞ ), R), Q(t), R(t)∈ C([t0, ∞), R+), τ > 0, σ, r ∈ R+. In this paper we will survey some recent results o...Consider the n-th order neutral differential equation where n > 1 is an odd integer, p(t) ∈ C([t0, ∞ ), R), Q(t), R(t)∈ C([t0, ∞), R+), τ > 0, σ, r ∈ R+. In this paper we will survey some recent results on the oscillation of Eq.() without the usual requirement that We also give some interesting open problems on this topic.展开更多
In this paper, the author obtains the existence of positive solutions of nonlinear neutral differential difference equations in a Banach space by means of the fixed point theorems.
基金Supported by the Science Foundation of Fushun Petroleum Institute
文摘In this paper,we study the existence of almost periodic solutions of neutral differential difference equations with piecewise constant arguments via difference equation methods.
基金supported by Introducing Talents Program of SIT (YJ2013-33)
文摘The solvability for a kind of singularly perturbed problem of nonlinear neutral differential difference system is considered. Using the boundary layer corrective method, the formal asymptotic solution is constructed. And applying the theory of fixed point, the uniform validity of the asymptotic expansions for solution is proved. Finally, an example is given to validate the results of the problems.
文摘Consider the n-th order neutral differential equation where n > 1 is an odd integer, p(t) ∈ C([t0, ∞ ), R), Q(t), R(t)∈ C([t0, ∞), R+), τ > 0, σ, r ∈ R+. In this paper we will survey some recent results on the oscillation of Eq.() without the usual requirement that We also give some interesting open problems on this topic.
基金This work is supported by the National Natural Sciences Foundation of China and Shandong Province,and the Doctoral Foundation
文摘In this paper, the author obtains the existence of positive solutions of nonlinear neutral differential difference equations in a Banach space by means of the fixed point theorems.
