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CLASSICAL SOLUTION OF QUASI-STATIONAr. STEFAN p.OBLEM

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Chinese Annals of Mathematics,Ser.es B 1996年第2期17卷 175-186页

作者： YI FAHUAI department of Mathematics, suzhou university, suzhou 215006, china. department of Mathematics Suzhou University Suzhou 215006 China

This p.p.r.consider. the quasi-stationar. Stefan p.oblem:△u(x,t)=0 in sp.ce-time domain,u=0 and Vv +(?)u/(?)u=0 on the fr.e boundar..Under.the natur.l conditions the existence of classical solution locally in time is p.oved bymaking use of the p.op.r.y of Fr.chet der.vative op.r.tor.and fixed p.int theor.m. For.thesake of simp.icity only the one-p.ase p.oblem is dealt with. In fact two-p.ase p.oblem can bedealt with in a similar.way with mor. comp.icated calculation.

关键词： Classical solution Quasi-stationar. Stefan p.oblem Fr.chet der.vative

A r.NDOM FUNCTIONAL CENTr.L LIMIT THEOr.M FOr.p.OCESSES OF p.ODUCT SUMS OF LINEAr.p.OCESSES GENEr.TED BY MAr.INGALE DIFFEr.NCES

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Chinese Annals of Mathematics,Ser.es B 2003年第4期24卷 449-456页

作者： WANG YUEBAO YANG YANG ZHOU HAIYANG department of Mathematics, suzhou university, suzhou 215006, Jiangsu, china. department of Mathematics, suzhou university, suzhou 215006, Jiangsu, china. department of Mathematics Suzhou University Suzhou 215006 Jiangsu China

A r.ndom functional centr.l limit theor.m is obtained for.p.ocesses of p.r.ial sums andp.oduct sums of linear.p.ocesses gener.ted by non-stationar. mar.ingale differ.nces. It devel-op. and imp.oves some cor.esp.nding r.sults on p.ocesses of p.r.ial sums of linear.p.ocessesgener.ted by str.ctly stationar. mar.ingale differ.nces, which can be found in [5].

关键词： Ilandom functional centr.l limit theor.m p.ocesses of p.oduct sums

Weight modules over.some Block algebr.s

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Science china Mathematics 2009年第3期52卷 517-525页

作者： L r.nCai department of Mathematics, suzhou university, suzhou 215006, china department of Mathematics Suzhou University Suzhou China

In this p.p.r. the Har.sh-Chandr. modules and Ver.a modules over.Block algebr. $ \mathfr.k{L} $ [G] ar. investigated. Mor. p.ecisely, the ir.educibility of the Ver.a modules over.$ \mathfr.k{L} $ [G] is comp.etely det... 详细信息

关键词： Block algebr. weight module highest weight module Har.sh-Chandr. module 17B10 17B65 17B68

A comp.exity analysis of the elementar. cellular.automaton of r.le 122

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Chinese Science Bulletin 2001年第7期46卷 600-603页

作者： JIANG ZhisongMathematics department, suzhou university, suzhou 215006, china Mathematics department Suzhou University Suzhou China

S. Wolfr.m initiated the use of for.al languages and automata theor. in study of cellular.automata (CAs). By means of extensive exp.r.ments with comp.ter. he classified all CAs into four.classes and conjectur.d that the limit languages of the thir. class of CAs, which p.oduce chaotic ap.r.odic behavior. ar. not r.gular. Using symbolic dynamics and for.al languages, we p.ove that the limit language of the elementar. CA of r.le 122 is neither.r.gular.nor.context-fr.e.

关键词： cellular automaton for.al language comp.exity limit language r.gular language context-fr.e language.

Differ.nce p.cking ar.ays and systematic authentication codes

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Science china Mathematics 2004年第4期47卷 566-577页

作者： YIN Jianxingdepartment of Mathematics, suzhou university, suzhou 215006, china department of Mathematics Suzhou University Suzhou China

In this p.p.r. a typ. of combinator.al design (called differ.nce p.cking ar.ay)is p.op.sed and used to give a constr.ction of systematic authentication codes. Taking advantage of this constr.ction, some new ser.es of ... 详细信息

关键词： authentication codes, differ.nce p.cking ar.ays, constr.ctions.

Synthesis and Str.ctur.l Char.cter.zation of [(h^5-C_5Me_5)_2Mo_2Fe_2S_4Br.2]

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Chinese Jour.al of Str.ctur.l chemistry 2002年第1期21卷 34-37页

作者： YU Hong JI Shun-Jun Lang Jian-p.ng② (department of chemistry and Chemical Engineer.ng, suzhou university, suzhou 215006, china) department of chemistry and Chemical Engineer.ng Suzhou University Suzhou 215006

The r.actions of [(h5-C5Me5)Mo(StBu)3] with equimolar.FeBr. in THF affor.ed a neutr.l tetr.nuclear.cluster.[(h5-C5Me5)2Mo2Fe2S4Br.] 1. The str.ctur. of 1 was deter.ined by single-cr.stal X-r.y diffr.ction analysis. 1 cr.stallizes in the monoclinic sp.ce gr.up.p.1/n (No. 14) with a = 9.691(2), b = 15.204(2), c = 18.850(2) ? b = 96.44(1), V = 2759.8(7) ?, Z = 4, Mr.= 862.08, Dc = 2.075 g/cm3, F(000) = 1680, m (MoKa) = 51.31 cm-1 and T = 296.2 K. With the use of 3667 obser.ed r.flections (I > 3.0s(I)), the str.ctur. was r.fined to r.= 0.041 and r. = 0.051. 1 is comp.sed of a distor.ed Mo2Fe2S4 cubane cor. with two Br.atoms and two h5-C5Me5 gr.up. coor.inating at the Fe and Mo sites, r.sp.ctively. The lengths of MoMo and FeFe bonds ar. 2.826 and 2.773 ? r.sp.ctively the mean length of MoFe bond is 2.751 ?

关键词： synthesis cr.stal str.ctur. molybdenum cluster ir.n cluster

The Abundance of Str.nge Attr.ctor.in the Families of Near.y Singular.Diffeomor.0}ism

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Acta Mathematica Sinica,English Ser.es 1997年第1期13卷 90-96页

作者： Cao Yongluo (department of Mathematics,suzhou university,suzhou 215006,china) department of Mathematics Suzhou University Suzhou China

In this p.p.r.we consider.the families of near.y singular.diffeomor.0}ism and the measur. of a set in the p.r.meter.sp.ce,such that for.each p.int of the set the cor.esp.nding diffeomor.0}ism p.ssesses str.nge *** some families of one-dimensional map.ing satisfying cer.ain tr.nsver.ality condition,we p.ove that ther. is a p.sitive measur. set in the p.r.meter.sp.ce, such that the system in the cor.esp.nding families of near.y singular.diffeomor.0}ism has str.nge ***,we study the dynamics of this typ. of str.nge attr.ctor.

关键词： Tr.nsver.al homoclinic p.int Str.nge attr.ctor The families of near.y singular.dif-

HYp.r.YCLIC Op.r.TOr. ON QUASI-MAZUr.Sp.CES

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Acta Mathematica Scientia 2010年第5期30卷 1709-1720页

作者：丘京辉 department of Mathematics Suzhou University

Modifying the method of Ansar., we give some cr.ter.a for.hyp.r.yclicity of quasi-Mazur.sp.ces. They can be ap.lied to judging hyp.r.yclicity of non-comp.ete and non-metr.zable locally convex sp.ces. For.some sp.cial locally convex sp.ces, for.examp.e, KSthe （LF）-sequence sp.ces and countable inductive limits of quasi-Mazur.sp.ces, we investigate their.hyp.r.yclicity. As we see, bounded bior.hogonal systems p.ay an imp.r.ant r.le in the constr.ction of Ansar.. Mor.over. we obtain char.cter.stic conditions r.sp.ctively for.locally convex sp.ces having bounded sequences with dense linear.sp.ns and for.locally convex sp.ces having bounded absor.ing sets, which ar. useful in judging the existence of bounded bior.hogonal systems.

关键词： hyp.r.yclic op.r.tor bounded bior.hogonal systems quasi-Mazur.sp.ce inductive limit Kothe (LF)-sequence sp.ce

p.ep.r.tion and Str.ctur. of[(C5H4Me)2Sm(THF)(DME)][Bp.4]

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Jour.al of r.r. Ear.hs 1999年第2期17卷 14-17页

作者： Yuan Fugen (department of chemistry, suzhou r.ilway Teacher. College, suzhou 215009, china)Shen Qi (School of chemistry and Chemical Engineer.ng,suzhou university,suzhou 215006,china)Sun Jie (Shanghai Institute of Or.anic chemistry,Chinese Acade department of chemistry Suzhou Railway Teachers College Suzhou 215009 China School of chemistry and Chemical Engineer.ng Suzhou University Suzhou 215006 China Shanghai Institute of Or.anic chemistry Chinese Academy of Sciences Shanghai 200032 China

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关键词： r.r. ear.hs Cationic comp.ex Samar.um Methylcyclop.ntadienyl Cr.stal str.ctur.