Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《Acta Analysis Functionalis Applicata》 2008-01
Add to Favorite Get Latest Update

The Existence of Random Periodic Solutions for a Class Non-local Cauchy Problem of Nonlinear Population Evolution Equation

LIU Xiao-jing, WU Kai-su, XUE Ya-pingDepartment of Mathematics and Information Science, Beijing University of Chemical Technology, Beijing 100029, China  
In this paper, we investigate the following non-local Cauchy problem of nonlinear population evolution equation with random periodic migration perturbation,{(p(r,t))/(t)+(p(r,t))/(r)=-μ(r)p(r,t)+f(t,p(r,t)),0rrm,t0p(r,0)=p0(r)+g(p(r,t0)),Tt00 p(0,t)=β(t)integral from n=r1 to r2 k(r)h(r)p(r,t)dr, t≥0.Here, we let the migration item f and the non-local condition item g as compact operator, and the function f is a periodic function of time veriable t with period T. Using the Shesfer fixed point theorem, the existence of random periodic solution for the above Cauchy problem was proved. Our results generalize the former researches.
【Fund】: 北京化工大学青年科学基金资助(QN0622)
【CateGory Index】: O175
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
【Citations】
Chinese Journal Full-text Database 2 Hits
1 ZHAXG Guo-wei(Department of Mathematics, Shandong University. Shandong. Jinan 250100 China) HUI Shu-rong(Department of Basic Science Shenyang Agricultural University, Liaoning Shenyang 110161 China);The Existence and Uniqueness of Random Periodic Solutions for A class of Nonlinear Population Dynamics with Random Periodic Migration Perturbations[J];Journal of Biomathematics;2002-01
2 Zhou Shaopu; Xu Minghao(Wuhan University, Wuhan 430072);THE GLOBAL EXISTENCE AND UNIQUENESS OF THE MILD SOLUTION OF SEMILINEAR STOCHASTIC EVOLUTION EQUATION[J];JOURNAL OF MATHEMATICS;1996-02
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 LI Zhi-long (Department of Mathematics, Shandong University, Jinan 250100,China);The Existence of Global Solutions for Nonlinear Population Dynamics with Random Migration Perturbations[J];Journal of Jiangxi Normal University (Natural Sciences Edition);2002-03
2 SUN Tao1,JIANG Xiu-qin1,DUAN Xiao-dong2(1.School of Sciences,Northeastern University,Shenyang 110004,China;2.School of Computer,Dalian Nationalities University,Dalian 116600,China.);Existence and Uniqueness of Solutions to a Class of Nonlinear Equations of Population Dynamics with Random Migration Perturbation[J];Journal of Northeastern University(Natural Science);2008-09
3 LI Mei-li ,LIU Hai-qiang College of Science,Donghua University,Shanghai 201620,China;Existence of Solutions for Semilinear Impulsive Delay Differential Equations with Nonlocal Conditions[J];东华大学学报(英文版);2010-05
4 TAO You- de1,2, YU Jing- yuan2, ZHU Guang- tian3 ( 1.College of Mathematics and Information Sciences, Xinyang Normal University,464000, Xinyang, Henan,China; 2.Beijing Institute of Information Control, 100037, Beijing,China; 3.Institute of Mathematics and System Sciences, C.A.S., 100080, Beijing,China);The Closable Linear Operator on Banach Space and the Infinitesimal Generator of a C_0-semigroup of Contractions[J];Journal of Huaibei Coal Industry Teachers College(Natural Science Edition);2009-01
5 LI Ming~1,YAO Yun-fei~2(1.Department of Mathematics,Huazhong University of Science and Technology,Wuhan,430074,China;2.Department of Mathematics,Fuyang Teachers College,Fuyang 236041,China);Optimal Harvesting for a Nonlinear Age-Dependent Population Dynamics[J];Journal of Fuyang Teachers College(Natural Sciences);2006-04
6 LUO Zhi-xue, LI Mu-chun (Department of Mathematics, Lanzhou Jiaotong University, Lanzhou 730070);Optimal Control for Linear Population Dynamics with Age-dependence Spatial Structure and Diffusion[J];Chinese Journal of Engineering Mathematics;2006-04
7 WANG Wei-hua,TIAN Wei,ZHOU Li(School of Science,Qiqihar University,Qiqihar 161006,China);The study on semi-dispersed algorithm of software rejuvenation system[J];Journal of Science of Teachers' College and University;2011-05
8 WANG Wei-hua,TIAN Wei,ZHANG Jing(School of Science,Qiqihar University,Qiqihar 161006,China);The semi-dispersed algorithm of the repairable system with warning function[J];Journal of Science of Teachers' College and University;2012-05
9 LU Liang;GUO Xiu-feng;College of Science, Hezhou University;Guangxi Key Laboratories of Hybrid Computation and Integrated Circuit Design Analysis;;Existence of solutions for a nonlocal boundary value problem of fractional differential equations with p-Laplacian operator[J];Applied Mathematics A Journal of Chinese Universities(Ser.A);2015-03
10 WEN Rui-li,CHAI Shu-gen(School of Mathematical Sciences,Shanxi University,Taiyuan 030006,China);Controllability of Some Half-Linear Impulsive Equations[J];Journal of North University of China(Natural Science Edition);2011-01
【Co-references】
Chinese Journal Full-text Database 1 Hits
1 Huang Haiyang (Dopt. of Math., Beijing Normal Univ., Beijing, 100875, P. R. China);The Dynamical Systems of the Physiologically Structured Populations[J];ADVANCES IN MATHEMATICS;1999-05
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved