FIXED_POINT

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Fixed Point and Asymptotical Stability in p-Moment of Neutral Stochastic Differential Equations with Mixed Delays
《Journal of Mathematical Research and Exposition》2011年第1期34-44,共11页Xia ZHOU Shou Ming ZHONG 
Supported by the National Natural Science Foundation of China (Grant Nos.60736029;30570507);the National Basic Research Program of China (Grant No.2010CB732501)
In this paper the asymptotieal stability in p-moment of neutral stochastic differential equations with discrete and distributed time-varying delays is discussed. The authors apply the fixed-point theory rather than th...
关键词：fixed point stochastic delay NEUTRAL asymptotically stable in p-moment Kernel. 
The rate of convergence of the Lax-Oleinik semigroup-degenerate fixed point case
《Science China Mathematics》2011年第3期545-554,共10页WANG KaiZhi1,2 & YAN Jun1 1School of Mathematical Sciences and Key Lab of Mathematics for Nonlinear Science, Fudan University, Shanghai 200433, China 2School of Mathematics, Jilin University, Changchun 130012, China 
supported by National Natural Science Foundation of China (Grant No. 11001100);China Postdoctoral Science Foundation (Grant No.20100470645);Shanghai Postdoctoral Science Foundation (Grant No. 11R21412100);the Young Fund of the College of Mathematics at Jilin University;supported by National Natural Science Foundation of China(Grant No. 10971093);National Basic Research Program of China (973 Program) (Grant No. 2007CB814800)
For the standard Lagrangian in classical mechanics, which is defined as the kinetic energy of the system minus its potential energy, we study the rate of convergence of the corresponding Lax-Oleinik semigroup. Under t...
关键词：Hamiltonian system weak KAM theorem Lax-Oleinik semigroup 
Convergence Analysis and Its Application in the Fixed Point Formulation of Medium Access in Wireless Network
《China Communications》2011年第1期43-49,共7页周安福 刘敏 焦学武 
supported by the National Basic Research Program of China(No.2011CB302702);the NationalNatural Science Foundation of China(Nos.60803140,60970133,61070187)
In the Internet of things, it is of critical importance to fully utilize the potential capacity of the network with efficient medium access control （MAC） mechanisms. In this paper, we study the convergence property ...
关键词：resource allocation in wireless networks DCF fixed point formulation convergence property 
CONTROLLABILITY OF EVOLUTION INCLUSIONS WITH NONLOCAL CONDITIONS
《Journal of Systems Science & Complexity》2005年第1期35-42,共8页LIGuocheng SONGShiji WUCheng 
This research is supported by the National 973 Program(2002CB312205).
In this paper we examine controllability problems of evolution inclusions with nonlocal conditions. Using Kakutani's fixed point theorem and Schauder's fixed point the-orem, we establish sufficient conditions for the ...
关键词：nonlocal conditions mild solutions evolution inclusions CONTROLLABILITY fixed point 
ON THE PERIODIC SOLUTIONS OF DIFFERENTIAL INCLUSIONS AND APPLICATIONS
《Applied Mathematics and Mechanics(English Edition)》2004年第2期168-177,共10页李国成 薛小平 宋士吉 
theNationalNaturalScienceFoundationofChina ( 1 0 2 71 0 3 5) ;National973Program ( 2 0 0 2CB3 1 2 2 0 5)
The periodic problem of evolution inclusion is studied and its results are used to establish existence theorems of periodic solutions of a class of semi_linear differential inclusion.Also existence theorem of the extr...
关键词：evolution inclusion semi-linear differential inclusion periodic solution continuous selector compact operator fixed point 
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