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Weighted Pseudo Almost Periodic Solutions of N-th Order Neutral Differential Equations with Piecewise Constant Arguments 被引量:3
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作者 Rong Kun ZHUANG Rong YUAN 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2014年第7期1259-1272,共14页
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
关键词 Weighted pseudo almost periodic sequence weighted pseudo almost periodic solution neutral differential equation piecewise constant arguments
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A New Almost Periodic Type Solution of First Order Neutral Delay Differential Equations with Piecewise Constant Argument 被引量:2
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作者 Rong YUAN Department of Mathematics,Beijing Normal University,Beijing 100875,P.R.China E-mail:ryuan@bnu.edu.cn 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2001年第3期403-412,共10页
In this paper,we introduce a new class of ergodic sequences,pseudo almost periodic sequences,and study the existence of pseudo almost periodic sequences to difference equations.On the basis of these,we investigate the... In this paper,we introduce a new class of ergodic sequences,pseudo almost periodic sequences,and study the existence of pseudo almost periodic sequences to difference equations.On the basis of these,we investigate the existence of pseudo almost periodic solutions for neutral delay differential equations with piecewise constant argument, d/(dt)(y(t)+py(t-1))=qy(2[(t+1)/2])+g(t,y(t),([t])). 展开更多
关键词 pseudo almost periodic solutions pseudo almost periodic sequences Neutral delay equation Piecewise constant argument
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Stochastic Nicholson's blowflies model with delays
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作者 Nadia Belmabrouk Mondher Damak Mohsen Miraoui 《International Journal of Biomathematics》 SCIE 2023年第1期97-128,共32页
In this research work,we introduce a new concept of double measure ergodic processes to identify the space of double measure pseudo almost periodic(or pap)processes in the pth mean sense.We display some findings regar... In this research work,we introduce a new concept of double measure ergodic processes to identify the space of double measure pseudo almost periodic(or pap)processes in the pth mean sense.We display some findings regarding the completeness as well as the composition theorems and the invariance of the space consisting in double measure pap processes.Motivated by the above-mentioned results,the Banach fixed point theorem and the stochastic analysis techniques,we prove the existence,uniqueness and the global exponential stability of doubly measure pseudo almost periodic mild solution for a class of stochastic Nicholson's blowflies model with mixed delays in a separable real Hilbert space.The concluding part of the work is crowned with an example to confirm the reliability and feasibility of our findings. 展开更多
关键词 pseudo almost periodic solution measure theory fixed point theorem stochastic Nicholson's blowflies model
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