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Coincidence Theorem for Admissible Set-valued Mappings and Its Applications in FC-spaces
《Acta Mathematicae Applicatae Sinica》2010年第3期455-462,共8页Ming-ge Yang Lei Deng 
Supported by the National Natural Science Foundation of China (No. 10771173);the Natural Science Foundation of Henan Education Department (No. 2008B110012);the Science and Technology Program Project of Henan Province (No. 092300410187);the Youth Foundation of Luoyang Normal University
A new coincidence theorem for admissible set-valued mappings is proved in FC-spaces with a more general convexity structure. As applications, an abstract variational inequality, a KKM type theorem and a fixed point th...
关键词：FC-SPACE coincidence theorem admissible set-valued mapping 
Semibounded Nonlinear Evolution Equations with Application to the KdV Equations
《Acta Mathematicae Applicatae Sinica》2003年第2期267-280,共14页Xiao-Ling Xiang, Chun-Xia Fan, Wei WeiDepartment of Mathematics, Guizhou University, Guiyang 550025, China 
Supported by Committee of Science and Technology (No.(2002)3002), Guizhou,China.
Abstract Existence of solutions for semibounded nonlinear evolution equations is established. This gives more accurate estimate of solutions and conditions of existence are more easily validated. Our results are succe...
关键词：Keywords Semiboundedness admissible triplet Galerkin equation local Lipschitz continuity existence UNIQUENESS KdV equation. 
THE CAUCHY PROBLEM FOR NONHOMOGENEOUS NAVIER-STOKES EQUATIONS IN L^q([0,T];L^p)
《Acta Mathematicae Applicatae Sinica》1999年第2期163-171,共9页苗长兴 顾永耕 
In this paper the Cauchy problem for a class of nonhomogenous Navier-Stokes equationsin the infinite cylinder is considered. We construct a unique local solution infor a class of nonhomogeneous Navier-Stokes equation...
关键词：Admissible triple Navier-Stokes equations Cauchy problem space-time estimates 
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