In this paper, we investigate the existence and uniqueness of new almost periodic type solutions, so-called pseudo almost periodic solutions for the systems of differential equations with piecewise constant argument b...In this paper, we investigate the existence and uniqueness of new almost periodic type solutions, so-called pseudo almost periodic solutions for the systems of differential equations with piecewise constant argument by means of introducing the notion of pseudo almost periodic vector sequences.展开更多
In this paper we investigate the existence and uniqueness of pseudo almost periodic solutions and unboundedness of other solutions for the systems of differential equations with piecewise constant argument [t + 1/2] b...In this paper we investigate the existence and uniqueness of pseudo almost periodic solutions and unboundedness of other solutions for the systems of differential equations with piecewise constant argument [t + 1/2] by means of new notion of pseudo almost periodic vector sequences. The case in which the characteristic equation has multiple roots is considered.展开更多
In this paper,we study the existence of almost periodic solutions of neutral differential difference equations with piecewise constant arguments via difference equation methods.
In this work, we present some existence theorems of weighted pseudo almost periodic solutions for N-th order neutral differential equations with piecewise constant argument by means of weighted pseudo almost periodic ...In this work, we present some existence theorems of weighted pseudo almost periodic solutions for N-th order neutral differential equations with piecewise constant argument by means of weighted pseudo almost periodic solutions of relevant difference equations.展开更多
1 Main results Consider the differential-differenee equaionx’(t)+px(t-1)+qx([t-1]) =0, (1)where p,q∈(0,∞) and[] denotes the greatst-integer function. Recently the oscillations of eq. (1) have been discussed and sev...1 Main results Consider the differential-differenee equaionx’(t)+px(t-1)+qx([t-1]) =0, (1)where p,q∈(0,∞) and[] denotes the greatst-integer function. Recently the oscillations of eq. (1) have been discussed and several very interesting re-sults have been established. However, up to date there exists no literature on展开更多
In this paper, the stability and bifurcation behaviors of a predator-prey model with the piecewise constant arguments and time delay are investigated. Technical approach is fully based on Jury criterion and bifurcatio...In this paper, the stability and bifurcation behaviors of a predator-prey model with the piecewise constant arguments and time delay are investigated. Technical approach is fully based on Jury criterion and bifurcation theory. The interesting point is that the model will produce two different branches by limiting branch parameters of different intervals. Besides, image simulation is also given.展开更多
基金the Science Foundation of Fushun Petroleum Institute and the Science Foundation of Liaoning Province.
文摘In this paper, we investigate the existence and uniqueness of new almost periodic type solutions, so-called pseudo almost periodic solutions for the systems of differential equations with piecewise constant argument by means of introducing the notion of pseudo almost periodic vector sequences.
基金This work was supported by the Natural Science Foundation of Liaoning Provincethe Science Foundation of Ocean University of China and the National Natural Science Foundation of China(Grant No.10371010).
文摘In this paper we investigate the existence and uniqueness of pseudo almost periodic solutions and unboundedness of other solutions for the systems of differential equations with piecewise constant argument [t + 1/2] by means of new notion of pseudo almost periodic vector sequences. The case in which the characteristic equation has multiple roots is considered.
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 National Natural Science Foundation of China(Grant Nos.11271380,11031002 and 11371058)Research Fund for the Doctoral Program of Higher Education(Grant No.20110003110004)+1 种基金the Grant of BeijingEducation Committee Key Project(Grant No.KZ201310028031)Natural Science Foundation of GuangdongProvince of China(Grant No.S2013010013212)
文摘In this work, we present some existence theorems of weighted pseudo almost periodic solutions for N-th order neutral differential equations with piecewise constant argument by means of weighted pseudo almost periodic solutions of relevant difference equations.
基金Science Foundation of Shanxi Province for the YoungScience Foundation of Taiyuan Heavy Machinary Institute.
文摘1 Main results Consider the differential-differenee equaionx’(t)+px(t-1)+qx([t-1]) =0, (1)where p,q∈(0,∞) and[] denotes the greatst-integer function. Recently the oscillations of eq. (1) have been discussed and several very interesting re-sults have been established. However, up to date there exists no literature on
基金supported by Beijing Higher Education Young Elite Teacher(YETP0458)
文摘In this paper, the stability and bifurcation behaviors of a predator-prey model with the piecewise constant arguments and time delay are investigated. Technical approach is fully based on Jury criterion and bifurcation theory. The interesting point is that the model will produce two different branches by limiting branch parameters of different intervals. Besides, image simulation is also given.
基金Supported by National Natural Science Foundation of China(11201084)China Postdoctoral Science Foundation(2013M531842)Science and Technology Program of Guangzhou(2014KP000039)
