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Capturability of pseudo Differential Games of pursuit

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Systems Science and Systems Engineering 1993年第4期3卷 354-356页

作者： YAN Yangkui department of mathematics, shanxi university, Taiyuan 030006, shanxi, p.r.china

This paper discusses the capturability with fixed time of a pseudo-linear differential game of pursuit. The pursuit set in which the pursuit will end once the initial state lies in this set is given by the method of integration of multi-valued function. The results obtained here solve an open problem of pontrjagin’s on the linear differential game of pursuit. Meanwhile, the requirement of the convexity of the control set and other related pontrjagin’s conditions are removed.

关键词： pursuit differential game pseudo-linear differential game.

C-Wellposedness of the Complete Second Order Abstract Cauchy problem and Applications

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Acta Mathematica Sinica,English Series 1999年第4期15卷 535-548页

作者： Mingchu Gao department of mathematics,shanxi Teachers university,Linfen 041004,p.r.china E-mail:mcgao@*** department of mathematics Shanxi Teachers University Linfen P. R. China

In this paper,we first give a sufficient and necessary condition for M= to generate an exponentially bounded =-semigroup and discuss its relations to the C-wellposedness of the complete second order abstract Cauchy problem （（ACp2） for short） in some *** we use these results and those in [1] to discuss the C-（exponential） wellposedness of a kind of （ACp2） with application backgrounds,and develop the results in [2].

关键词： Abstract Cauchy problem C-semigroup C-wellposedness

AppLICATIONS OF THE DIVISION prOBLEM IN SpACES OF ENTIrE FUNCTIONS

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Systems Science and Systems Engineering 2003年第3期12卷 307-313页

作者： Guang WANGdepartment of mathematics shanxi university, Taiyuan 030006, p.r.china department of mathematics shanxi university Taiyuan 030006 P.R.China

Based on the results of (Wang 2001), we give some applications of division problem in spaces of entire functions of finite type. Especially, when p = 1 and H is the support functions of a bounded convex domain of C , ... 详细信息

关键词： Entire function plurisubharmonic function weight system division problem

SpECTrUM-prESErVING ELEMENTArY OpErATOrS ON B(X)

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Chinese Annals of mathematics,Series B 1998年第4期19卷 511-516页

作者： HOU JINCHUAN (department of mathematics, shanxi Teachers university, Linfen 041004, china.) department of mathematics Shanxi Teachers University Linfen 041004 China

Characterizations for elementary operators of length 2 to be invertibility-preserving,spectrum-preserving or spectrum-compressing are obtained.

关键词： Elementary operators Spectrum-preserving linear maps positive maps

THE CHArACTErISTIC OF EVENTUALLYUNIFOrMLY CONTINUOUS C0 SEMIGrOUpSON A HILBErT SpACE

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Systems Science and Mathematical Sciences 1999年第1期12卷 49-54页

作者： ZHANG Lianping (department of mathematics, shanxi university, Taiyuan 030006, china) 山西大学数学系山西太原

A full characterization is given, in terms of the resolvent r(λ; A) of the infinitesimal generator A of a C0 semigroup T(t) on a Hilbert spaced which assures the continuity for t > t0 (t0 0) of T(t) in the uniform op... 详细信息

关键词： C0 semigroup continuous in the uniform operator topology Fourier transform.

ON THE EXISTENCE OF pOSITIVESOLUTIONS OF AN ELLIpTICBOUNDArY VALUE prOBLEMON THE EXISTENCE OF pOSITIVESOLUTIONS OF AN ELLIpTICBOUNDArY VALUE prOBLEM

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Chinese Annals of mathematics,Series B 2000年第4期21卷 499-510页

作者： LIUZHAOLI LIFUYI departmentofmathematics ShandongUniversityJinan250100China. departmentofmathematics ShanxiUniversityTaiyuan030006China.

Using variational method, the authors get an existence result for positive solutions of a superlinear elliptic boundary value problem without assuming the p.S. condition. To prove the results in this paper, the author... 详细信息

关键词： Superlinear elliptic BVp positive solution Variational method Gradient flow

VErTEX-prIMITIVE 1/2-TrANSITIVE GrApHS

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Systems Science and Mathematical Sciences 1996年第1期9卷 76-82页

作者： DU Shaofei(department of mathematics, shanxi university, Taiyuan 030006, china) 山西大学数学系山西太原 030006

ＶＥＲＴＥＸ－ＰＲＩＭＩＴＩＶＥ１／２－ＴＲＡＮＳＩＴＩＶＥＧＲＡＰＨＳ￥ＤＵＳｈａｏｆｅｉ（ＤｅｐｏｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＳｈａｎｘｉＵｎｉｖｅｒｓｉｔｙ，Ｔａｉｙｕａｎ０３０００６，Ｃｈｉｎａ）... 详细信息

ＶＥＲＴＥＸ－ＰＲＩＭＩＴＩＶＥ１／２－ＴＲＡＮＳＩＴＩＶＥＧＲＡＰＨＳ￥ＤＵＳｈａｏｆｅｉ（ＤｅｐｏｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＳｈａｎｘｉＵｎｉｖｅｒｓｉｔｙ，Ｔａｉｙｕａｎ０３０００６，Ｃｈｉｎａ）Ａｂｓｔｒａｃｔ：Ｉｎｔｈｉｓｐａ...

关键词： transitive graph orbital graph primitive group.

Investigation and research on Auto-Aiming of Self-propelled Gun

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Systems Science and Systems Engineering 1998年第4期8卷 492-496页

作者： LI Hong(shanxi Finance and Economy university, shanxi, 030006 p.r.china)LIANG Jiahua(shanxi university, shanxi 030006, p.r.china)

This paper analyses the automatic adjusting of the aim angle because of self-propelledgun’s platform sloping with ground plane caused by self-propelled gun movement, sets up adjustingmethod and model, and presents th... 详细信息

关键词： self-propelled gun self-aim movement inclination adjusting model algorithm

A Class of plurisubharmonic Functions of positively Homogeneous of Order ρ

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Systems Science and Systems Engineering 2000年第1期10卷 110-118页

作者： WANG Guang department of mathematics, shanxi university, Taiyuan 030006,china

In this paper, we construct and discuss some plurisubharmonic functions of positively homogeneous of oder ρ and some weight system, which will be used in the study of the solution of Dirichlet problem for the com... 详细信息

关键词： plurisubharmonic function weight system Monge\|Ampère equation support function