ALMOST_PERIODIC_SOLUTION

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Poisson Stable Solutions for Stochastic Differential Equations with Lévy Noise
《Acta Mathematica Sinica,English Series》2022年第1期22-54,共33页Xin LIU Zhen Xin LI 
Supported by NSFC(Grant Nos.11522104,11871132 and 11925102);Xinghai Jieqing and DUT19TD14 funds from Dalian University of Technology。
In this paper,we use a unified framework to study Poisson stable(including stationary,periodic,quasi-periodic,almost periodic,almost automorphic,Birkhoff recurrent,almost recurrent in the sense of Bebutov,Levitan almo...
关键词：Stochastic differential equation Lévy noise periodic solution quasi-periodic solution almost periodic solution Levitan almost periodic solution almost automorphic solution Birkhoff recurrent solution Poisson stable solution asymptotic stability 
Weighted Pseudo Almost Periodic Solutions of N-th Order Neutral Differential Equations with Piecewise Constant Arguments被引量：3
《Acta Mathematica Sinica,English Series》2014年第7期1259-1272,共14页Rong Kun ZHUANG Rong YUAN 
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);the Grant of BeijingEducation Committee Key Project(Grant No.KZ201310028031);Natural Science Foundation of GuangdongProvince of China(Grant No.S2013010013212)
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 ...
关键词：Weighted pseudo almost periodic sequence weighted pseudo almost periodic solution neutral differential equation piecewise constant arguments 
A Spectrum Relation of Almost Periodic Solution of Second Order Scalar Functional Differential Equations with Piecewise Constant Argument被引量：4
《Acta Mathematica Sinica,English Series》2011年第11期2275-2284,共10页Li WANG Rong YUAN Chuan Yi ZHANG 
The first author is supported by NPU Foundation for Fundamental Research （NPU-FFR-JC20100220）; the second author is supported by National Natural Science Foundation （Grant No. 11031002） and RFDP; the third author is supported by National Natural Science Foundation （Grant No. 11071048 ）
In this paper, the spectrum relation of almost periodic solution for the equation （x（t） ＋px（t - 1））＂ = qx（[t]） ＋ f（Q is investigated. Although this has been discussed in an article, some counterexamples ar...
关键词：Neutral delay-differential equation piecewise constant argument almost periodicity SPECTRUM 
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