캬웕톶 596 应펦?用폃?数쫽学톧学톧?报놨??17?卷뻭?뫍和?(? hh-~?샶ω??1?ꎯ?什?+叫q白2ν石E瓦=一..;7i瓦:一J瓦十1-j 12 ???듋JI쾵:춳主系뻍统뇤就变돉成뚡了?ꎺ튻???,.? ?L ?2. r? 矿石豆豆÷辽瓦+J瓦?????1 ???2? ???1? x= 吉十x~+μ~1x~ + I r.-;-,,---,,-. (Pl + q2)斗n21xy+n，y.十PIX+ qlY ~ , 1 l"’-, L4瓦h-..;7iZ-JEZ II J 2ꆣꎺ????4? ??1 V???旷?今?币??2'"?百?+?时?+P?2X十?qꆣ.?型、石h-Jhl-J豆豆+1 ’\..t’.I. ’’";*1-’’’ -:t’ ---"1;1 2?ꎮ?根룹뻝据定뚨理샭1?可뿉知횪当떱在?<??1μ1<ꆶ<1?时쪱，ꎬJ듋I쾵t춳系퓚统풭在뗣原췢点캧外돶摆쿖出现솽湾룶个돤充럖分듳大뗄的벫极쿞限뮷环ꎬ雹쯼它们쏇?都뚼是쫇经뺭徽캢扰죅系쾵统춳(??11?)?뫳后.ꎬ从듓无컞限쿞大듳分럖界뷧线쿟环뮷跳쳸出돶来살韵뗄.ꎮ?这헢样퇹电ꎬ我컒的쏇쫗首듎次뻙举出돶了쇋内쓚몬含焦붹点뗣的뗄无컞限쿞듳大럖分뷧界线쿟环뮷럖分支횧出돶两솽个룶极벫艰쿞环뮷的뗄二뛾次듎系쾵统춳豹뗄?例샽子ퟓ，ꎬ而뛸且쟒写킴出돶了쇋系쾵统춳的뗄具뻟体쳥形탎状ힴꎮ?更룼盲폐趣좤的뗄是쫇，ꎬ我컒们쏇还뮹可뿉以틔在퓚满싺足ퟣ推췆论싛2?条쳵件볾的뗄系쾵统춳?(1?7?)?豹뗄基믹뒡础上짏微캢抗죅系쾵数쫽，?使쪹得뗃?, 듓从컞无쿞限듳大럖分界뷧线쿟环뮷直횱接뷓쳸跳出돶一튻个룶二뛾重훘极벫限쿞环뮷ꎮ샽例如죧，ꎬ컒我们쏇在퓚系쾵统춳(?1?7?)?右폒端뛋分럖别뇰加볓上짏当떱?。??<h?o?<<ꆶ:l?时쪱的뗄캢徽拔죅쿮项aꎮ????ho + ?2，?ι?0，? <. 1 I 一T~V二ttipz÷q加亚和刮11 CP1 + q,)x’ 튻p飞1-컅ꆣꆢJh{;)2 \?n ?"?.，?-~'뫍" ?~ l?(l -J瓦)2튻?-J? ?????变成?튻??空?r?.??2. r? ho? + ?2J?ho? .? ???1? ??, . ??? x=-y+x*+μ~ llX’ + 1 ，:一一一一一(Pl十也)+ n,1 xy + nlY. + PIJ" +苦lYr r’-, Ll1-J瓦)2\.t'.I.,,.*1 --""’J -;7 ’.;7 ’.t’.I.-, ，.~;7 J ????????????????2 吉=x+XY+μ卜1丁(Pl+ Q2)"" + m叫+n2y+? p?,X? + q2咛Lll-Jh盯i?恨룹据뻝定뚨理샭3?可뿉知횪嗜ꎬ当떱白?<??1,,1 ꆶ<<: 1? 0쪱寸，ꎬ듋J比쾵系춳统퓚在풭原뗣点外췢画캧出돶现쿖一튻个룶充돤分럖大듳的뗄工뛾重훘极벫限쿞环뮷，?它쯼쫇是系쾵춳绞。???7)?经뺭激캢扰죅系쾵数쫽后뫳，ꎬ从듓无컞限쿞大듳分럖界뷧线쿟环뮷跳쳸出돶来살的뗄?致훂킻谢作ꎺퟷ者헟对뛔陈돂孝킢秋쟯同춬志횾曾퓸指횸出돶本놾文컄初돵雨룥中훐计볆算쯣上짏的뗄问컊题쳢.ꎬ并늢给룸予폨指횸王헽表뇭示쪾感룐谢킻?参닎考뾼文컄献쿗?[ ?1]ꆿ陈돂孝킢敦쟯ꎮ튻类샠二뛾次듎~!쾵1춳E듦存퓚在?Po?i?n?c?á?r??e分럖支횧的뗄条쳵件볾，ꎬ짇油在춷大듳学톧学톧援횲，ꎬ?1?98??7，ꎬ?2(?1?)?'ꎺ1??2ꆪ-1?6?ꎮ ?[ 2?]ꆿ叶튶窘퇥잫谦뗈等被벫艰쿞环뮷论싛上ꎮ海짏:몣上ꎺ海짏科몣学뿆技톧术벼出쫵돶版냦社뛅，ꎮ至??四?生?，ꎮ8??3-??%8?ꎮ?,...,
??뻊?쮹?ꎬ쿧?췟?룧?ꎬ?쯍?캬웕쏘톶 http://w?w쏱 1HZ更可挡j箩王秀走〉丰乡1ff/草厅去年f~) 뗚第1?7?卷뻭第뗚4?웚黯?펦应用폃쫽数톧学톧学놨援?'ꆣ?????????ꎮ??1??99?4?年쓪4?퓂月??A?C?TA?? M?A?T?H?E??孔f?A?T?I?C?A?E?A??PP?L?I?C?A?T?A?E?? S??I?:\’?I?C?A? ?Oc?t?ꎮ亏ꎬ1?9??弘??。ꇳ?去11튻-b?o뿚s?-单떥纯뒿形탎上짏B?e?r?n?s?t?e?i?n多뛠쿮项式쪽的뗄迭뗼듺ft极벫쿞限?F돂军랢发来살?{?훐中맺同뿆科톧学벼技术쫵交듳学톧教쫽学톧系쾵，ꎬ?台첨胞럊?23?0?0?2?6?)?♂?/ꎯ?7全??可一?????????????????????????????????LlMIT OF ITERATES FOR BERNSTEIN P?O?L?Y?N?0?1?\.H??AL?S?? D?E??FI?N?E?D?? O??N? ?A ?S??IM??PL??E?X? C?H?E?K?? ?F?AL??AI? (?D明??时??:??me??nt?0ꆣ1? M?i?J.在?hn??na?t?叫????????????????????????????????????????????????????????ꆢ?" A??bs??t?r?a?c?t? ??????????????????????????????????????????????????????????????????????????????????This papa: determines e飞.plicitly tl主eitera也esfor B町nsteÏnpolynorniaJs defined on a. s??i?mp?l?e??x?七??y?田???i?n?g??????????????????????????????????????????????????????????????????????asymptotical forrnula of Bernst",in polynomials a且dnlathematicaJ induc›????tion 튻ꆢ主틽I?言퇔?设짨!ꎬ(?约?是쫇定뚨义틥在퓚区问쟸:볤白?，ꎬ?1]ꆿ上짏前뗄实쪵值횵函몯数쫽，ꎬ与폫ꎬ!(?x)?相쿠应펦部뗄n?次듎?Be?r?n?s?t?e?î?n?多뛠쿮项式쪽定뚨义틥成돉?????튻?ꎮ?(1.ꎮ1?) Bn川=主!(~)G)x1(l-X俨3폃用뗝递췆推릫公쪽式??B~?k)(?ꎬf;ꎻ?:r)? :ꎺ?= 릮Bn(?B?~?k气!?ꎬ;ꎻ?x)?;ꎻ?习，?ꎬ?k=?2?雹ꎬ?3ꎮ，ꆭ号?(?1?.ꎮ?2)? r? ?来살定뚨义틥?Be?r?n?s?t?ei?n뛠多쿮项式쪽的뗄迭뗼代듺，ꎬ其웤中훐B?~?l)(?fꎬ;ꎻ?对?ꎺ?=?Bn?(?ꎬf;ꎻ?x)?.ꎮ? ??????폫?????í?1Kelisky与Rivlin]?쫗首先쿈研퇐究뺿了쇋当떱?k趋쟷于폚无컞穷쟮对쪱曹ꎬ?B?盯???田??t?ei?n多뛠쿮项式쪽迭뗼듺f-\몯，;쫽函뗄数的벫极?限쿞ꎮ他쯻们쏇证횤明쏷了쇋‘ꎬ苦죴极벫限쿞i??lE?t=2存在퓚传?依틀赣삵于폚吟?，?ꎬ旦쟒ꎬ!(?:r)?캪为一튻多뛠项쿮式쪽，ꎬ쓇那么쎴뗼迭代듺极벫?限쿞JI?主??政??的(?ꎬI;ꎻ?x)?也튲쫇是一튻多뛠项쿮式쪽，ꎬ늢并且쟒他쯻们쏇稳좷定뚨了쇋该룃多뛠项쿮式쪽·ꎮ此듋后뫳，ꎬ文컄献쿗?i2?-4?]?将붫上짏述쫶结뷡?맻果推췆广맣~떽J→튻般냣正헽线쿟性탔算쯣子ퟓ的뗄情쟩形탎.ꎮ而뛸文컄献쿗萨?-ꆪ?刘ꆿ퓲刚듓从쇭另튻一룶个랽方쿲向짏上加볓以틔췆推广맣，ꎬ쯼它쏇们럖分뇰别뾼考?虑싇了矩形域及三角域上B盯在stein多项式前迭ft极限其中j句兰角域上前推广裙当困难穹폃甩떽쇋到쇋뻘了뷏탎폲룟벰뗄죽벼뷇쟉폲닅짏뗃틔??뷢??较高的技巧才得以解决뻶???[?7?J?뛠놾쿮本文컄쪽的뗄뗄工릤뗼ퟷ듺作쫇벫是퓚쿞在컄ꎮ文쿗웤献间?훐?쿲뗄죽릤뷇ퟷ폲뗄짏믹뗄뒡췆짏맣ꎬ쿠的工作的基础上.通춨过맽떱归맩삧纳쓉쓑ꎬ볙?假?本놾컄文四??9?1?年쓪5?퓂月2?1?吕죕쫕收到떽ꎮ?1?掉??2?年쓪1??0퓂月1?2?日죕쫕收떽到修탞룄欢룥稿ꎮB?*맺嚣볒家ퟔ自좻然뿆科톧学믹基뷰金资훺助뫍和맺国볒家뷌教캯委늩博쪿士点낱基믹뷰金资助훺?,;.1
캬웕톶 5?.9?8? ?应펦?恿폃?数쫽?学톧?学톧?据놨?1?7?卷뻭?设짨.ꎬi뫜革랽方뇣便뗘地룸给出돶了쇋떥单纯뒿形탎上짏B?e?r?ns?t?e?坦?多뛠项쿮式쪽迭뗼代듺极벫限쿞的뗄二ꆫ极냣性쪤结뷡果맻二ꎬꎮ从듓而뛸较뷏完췪满싺地뗘完췪?成돉了쇋B?e?r?n?s?t?e?i?n多뛠项쿮式쪽迭뗼代듺极벫限向쿞高쿲维룟{캬写?在럇张헅量솿积믽;?区쟸域폲自뗄甘췆推广맣ꎮ?一下쿂面쏦我컒们쏇先쿈引틽入죫多뛠重훘指횸标뇪的뗄概룅念쓮?设짨σ??是쫇m?维캬欧얷民쫏空뿕间볤?lR~中훐的뗄单떥纯뒿琅탎其ꎬ顶웤点뚥为雹뗣0캪-?，?ꎬ?Vl ꎮꎮꎬ?ꆢ?훐죎튻뗣?뿉캨? -.. ，VTIl，'σ中任一点""耳唯튻一地뗘表뇭为캪:ꎺ???、X=?L?λ?jꎬV?j吨ꎬ?(ꆾ1?.ꎮ3?)? j=O 其웤中훐À?j?(??j?二苗?，ꎮ1?，ꎬ..튻.，ꎬm?)?非럇负뢺，ꎬ且쟒Zꇆ二?a?λ?Jꎬ=?1?.ꎮ称돆λ?=?(?λ。?弓ꎬλ?1?，'"，À?=?)?为캪Zꆣ关맘于폚?g的뗄?重훘心탄坐ퟸ标뇪，ꎮ?用폃?zza+ꆰ1表뇭示쪾m?十?1?重훘非럇负뢺整헻数쫽指횸标뇪集벯aꎮ对뛔于폚<>?=? (?旬?，ꎬ由?主?雹ꎬ?1ꎬ?BU? Eꇊ ?Zr+\ꎬ定뚨义틥?1?<?>1? :ꎺ?=?句?十?<?>1?十?.ꆤ.ꆤꆤ.?十0?:?=.??ꎮ4?)? (1.??ꎺ???ꆿ???ꆤꆤ???ꎬ?。白。!'"豆、，也mL?ꎮ5?)? (1.(?怜ꎺ?1):ꎺ?= 11主IJ!?(0:0 + 0:1 +十Ü'm)!?ꎮ6?)? ( 0: J o:! 自01自主!’ λ?iꆣl .ꎺ?_λ?号?。λ?zꆭ-4λ?z?mꎮ?l {?1??.7?}?? 뛔폚?ꎬ?ꇊ?豆ꎬ，죴若对于白，ZF+?ꎬj?=?O?ꎬ1?、ꎬꆭ..ꎬ，?喳ꎬ凤퓲则볇记ퟷ作3E咱<?>?<β-着죴自??三A且>J三码、쟒至훁少짙育폐一<튻?룶个?Qj<??(?O??jm?)?돉1ll솢(;ꎬ立，퓲重볇ퟷ???ꎮ떱?쪱ꎬ뚨틥?冯~ 三tli己作<><β，当0<β肘，定义??ꆿ?????ꎯ???ꎯ?????ꎮ8? (1.)? 。二tr(2)(::)(立)튻???튻뿚?ꎬ??~ꆪ β-0: := (60-α。，β10?1?,ꆢ?"?.? ，ꎬ?ßlnα~?)?‘ꎮ ?(?1?.ꎮ9?)? 폖맦뚨ꎬ??뇭쪾뗚?룶i~又规定.表示第j分럖量솿为캪1?웤其余폠分럖量솿为캪零쇣的뗄m?+?l?重훘指횸标뇪在ꎮ퓚不致늻?훂믬昆淆쿽的뗄情쟩况뿶?'J쿂ꎬ냑?????ꎬꆭꎬ??ꇊ???性及벰????ꎬ?ꎬ，.ꆭ..，ꎬ1??}EꇊZ?';'+1下、把自={O弓..，OO)EZ';'β二杠，1分럖别뇰筒볲记볇为캪自???벰?β二??ꎮ?，=0及1폖뛔폚????ꎬ??ꎬꆯꎬ???ꇊ?Zr+1又对于z二(;0雹2Z豆，哩，dE벰及，.??= (??ro?奄ꎬ?r?bꎬIꆭVꎬT??J? Eꇊ ?ZT+气ꎬ用폃记볇号뫅??表示Lr~?o?뇭쪾?m?+?l?重훘和뫍EꇆZ?zꎺeꆣꇆ?ꎺꆣꆤꇆ?ꎮ?z::=8•-22 η没짨ꎬf{?λ?}?是쫇定뚨义틥在퓚?σ主짏的뗄重몯量쫽数ꎬ，폫与fꎬ(?λj?쿠指应펦的뗄?次듎B??t>?r?ns?t?e?i?n뛠多项쿮式쪽定뚨义틥成돉:ꎺ???ꎺ?二λ)B~(f;ꇆꎬf(?;ꎺ)?J;:{抖?ꎬ( 其웤中훐?J;:{?λ?}?캪为?Be?r??国??t?e?ín基믹函몯数쫽.ꎺ??????ꎺ??"号二二~À;:{λ) := ꆣꎮ???ꎮ?11??) (! 헢这샯里?λ=?(???ꎬ??ꎬ户ꆭ.灰，λ2ꎬ.?À?=)?캪为重훘心탄坐ퟸ标뇪吨?춬??ꎮ??튻퇹ꎬ폃???????Bn?(?B?~?k-ꆣ1)同()一样B~'\f;λ) = •??{ꎬf;ꎻ?战?ꎻ斗??来살定뚨义틥B?e??m?s??缸??in쯣算ퟓ子剖뗄迭뗼代듺、ꆢ我컒?ffl 们쏇룐感탋兴좤趣的뗄是쫇当떱?k쟷趋폚于컞无쟮穷쪱对뗼迭듺代函몯쫽数约뗄벫极限쿞行탐为캪.ꆢ놾本컄文的뗄主훷튪要뷡结论싛쫇是下쿂面쏦的뗄?뚨定理샭1.?ꎮ뛔.1만'뚨固定뗄的?饨ꎬ，뗼迭듺极벫限쿞?ft????????ꇆꎬ???ꆫ??ꎮ??2?) (1吩λr(.λ}= Lf????,
캬웕톶 4?期웚?陈돂发랢살来单ꎺ떥纯뒿影탎上짏B?白??n?s?u?.?Î?n?多뛠I쿮哥쪽式的뗄迭뗼I듺t极벫限쿞?5?盼???望뻟F迭췻폐代?쒳画?훖数쫽ꆰ的쒥?极맢限ꆱ?뺡탔收?훊敛于폚在퓚单떥纯뒿形탎顶뚥点뗣错닥值횵于폚原풭函몯数쫽的뗄线쿟性탔画몯数쫽.ꎮ该룃定뚨理샭表뇭嚼쏷了쇋算쯣子ퟓB뿚丑?ꎮ?真有菜事种#定뚨理샭?2.ꆤ设짨k?是쫇依틀核삵子폚自ퟔ然좻数쫽饨?的뗄非럇负뢺整헻数쫽、ꎬ豆쟒衍?生王三=?t?主0?，ꎬ퓲则뗼迭代듺极벫限쿞?ꆣ?ꆯ?ꎻ???ꇆ???(?ꎮ?3)? J垣cBf}{Y;λ)= 1>:厅、其웤中훐系쾵数쫽?伫旦ι主ιιf川뒨川?1-(川z于丘司，() (i;二1才:~')句JC节二IXt;)-. ꇫ튻?ꋭ?ꆪ??????(1?.?]5?)? E퇐f=?ε? 튻?出乒ltꎬ?1 = O?~ꎬ 1? ꆭꎬ?(?1?.1?6?)? 这헢里샯毛?ꎬr?Eꇊ Z??+十ꎮ并늢约풼定뚨仁?튻??:?)?=1?3ꎬ(?fJ?z?由??(?j?三吟??、已)=O(j<s)在퓚定뚨理샭证횤明쏷之횮前잰，ꎬ我컒古]쏇先쿈绘룸出돶几벸个룶引틽理샭.ꎮ?二뛾毛ꆢ主틽i理샭?引틽理샭1?.ꎮ设짨fꎬ(?λ)?是쫇?σ上짏的뗄二뛾次可듎微뿉函캢数哩몯J쫽lꎬi벴1ꎬf(?λ?)? Eꇊ C?"ꆣ(?σ)?.ꎮ I퓲 ! ?当丰π??(?Bn?(?f;ꎻλ?)?-튻fꎬ(?λì)? =ꎺ ?Af?(?λ?1? (?2??.1?)? 子폚ꎯσ?上짏-ꆫ-튻훂致돉成솢_~'L.?웤在中훐微캢分럖算쯣子ퟓA?定뚨义틥为캪?2 ~ _ 81皿萨ꎺꆪ튻?() A二-~LL>.p>.q玩再二十三三λ'Pà)'~'?p?~?υ?q?=u? ??p웞=?u 췗ꎮ???ꎮ??듋此草벴PR?e?r?m?.?t?e?i?n쯣贯一ퟓ子自뗄甘苦붥fri뷼丘햹展开뾪式쪽-ꎮ??51?理샭?2.ꎮ폃用疗?，!?(σ}?表뇭示쪾?σ上짏次듎数쫽不늻超뎬过맽d?的뗄뛠多쿮项쪽式좫全쳥体，ꎬ假볙设짨如죧同춬定뚨理샭.ꎮ퓲则对뛔任죎意틢?的뗄f?(??λjꎬꇊE ꎥ1[d{?σ)?돉农工펮二ퟅû?hm B~k)?(ꎬJ;ꎻ?λ?) ?=A??，ꎬJ(?λj?ꆢ、??(?2.ꎮ?3)?π-= 这헢黑샯算쯣子ퟓ?A，?=?川뒨=?主ꇆꆭ?ꎬ?〈A3ꎬꎮ?j=O); 틔以上짏两솽弓틽|샭王뗄军횤的证쏷明뚼都뿉可틔以퓚在ꆾ[?8J?훐中找헒到떽.ꎮ?틽引샭理?3.ꎮ?A?，{?λ')?쫇是쫗首项쿮为캪?E?Lꆻ?r뗄她多뛠项쿮式쪽ꎮ?횤i手，ꎮ평也?(?2ꎮ.?2)?쪽式폐有??A(?).T??) ?= 튻-aꆣI?TI).T ?+ ꇆL ꆣa?，)?.튻'?勺ꎮ??(2ꎮ.?4? r?]?=?0? 헢샯?这里j(j -1) ??ꎬꎬ튻?ꎬ??(?2ꎮ.?5?) Q’ = 2→、j=O、1、u
캬웕톶 8?0?0? ?应펦?用폃?数쫽学톧?学톧?报놨?1?7?卷뻭?벴???쫇쫗쿮캪튻???År邵A(λr)是首项为-aH?的뗄多뛠项쿮式쪽，ꎬ其웤中훐各룷项쿮系쾵数쫽绝뻸对뛔值횵之횮和뫍不늻超뎬过맽(四??十?2?)?aꆣl?l'ꎮ一튻般냣?r地뗘，ꎬ易틗证횤A?J?(?λr)?是쫇一튻首쫗项쿮为캪(?-튻al?r?l)?忧??的뗄뛠多项쿮쪽式，ꎬ其웤各룷项쿮系쾵数쫽绝뻸对뛔值횵之횮和뫍不늻超뎬过맽(??(?m+??2?)?a?i?l?)j?注힢意틢到떽马??z?zꇆ3?Aj?j?ꎬj틽理샭3?立솢即벴得뗃证r횤ꎮ??????ꎺ?三죽、ꆢ定뚨理샭的뗄证횤明쏷?定뚨理샭1?她뗄证횤明쏷-ꎮ?由평定뚨义틥(?1?.?10?)?易틗主횪ιꎬ坠??r?ns?t?e?ì?n算쯣子ퟓ?Bn是쫇一튻正헽线쿟性탔算쯣子ퟓ、ꎬ宫쯼对뛔续쿟性탔函몯数쫽是쫇不늻变뇤的뗄，ꎬ?벴?呈FBn(?l?;ꎻ对??三?L?ꎬ????ꎻ?????ꎬ???ꎬ?ꎬꆭꎬ??(?3.ꎮ1?)? Bn(λj;对=λj1J二0，1，'",m. 쟒폐?且有. Bn{? ?j˝1? ?儿?川?)ꆧ;川:???????????ꎬ???ꎮ??轧폊削υ队$?o阳山ꆣ????튻?튻???튻???ꎮ??헢샯???????튻???ꎮ?这里o:二10<?"1 < ... <?".I!主用我컒们쏇先쿈证횤，ꎬ当떱fꎬ(?λ?)?为캪多뛠项쿮式时쪽(쪱1.??1??2?)?成돉立솢-?为캪此듋只횻用폃证횤?,컵lim ?B~')(?λ『?，λ??)?=儿?ꎬꎬ?j=? 0?,ꎬ 1?,ꎬ’" ?,ꎬm?,ꎬ? (?3??.4)? E = 且mB?~?')(λ2ꎺ8ꆣλ?ꎺ2?ZLꆤ?u?λ???;ꎻλ?)? =?白?ꎬ?8?>?O?.ꎮ ?(?3?.ꎮ5?)? .→∞ 二一这헢里샯。??三句?<??.1? <?? ꆤ???ꎬ?????ꎬ?ꎬꆭꎬ??캪헽헻쫽ꎮ?... < l"，三m，0.] (j = 0哩1，'"，m)为正整数.평?由0??5λ?3?λ튻?;ꎻ3?=?λ?j?(?I 튻-?¯;)?(?l ?+?乌+?…ꆤ?÷?λ???j?2}?三{?由j-튻1?)?λ?j(?1?一튻?λβ?(3.?6ꎮ)??벰及?(3.ꎮ?2)?쪽式电ꎬ늢并샻利폃用쯣算ퟓ子?Bn?的뗄l헽E탔性뗃得떽到?ꆣ??ꎻ?튻???ꎻ??????튻??、kk口三BL的{λ'j~λ)-Bi) (λ7气λ)三(a;一川1-iiꆫM1?-튻λ?j)?.?(3?.ꎮ7?)? 퓚在짏上쪽式훐中쇮令?是튻→∞??即벴得뗃到떽?(?3ꎮ.?4?)쪽式.?캪为횤证?(3.ꎮ?5)?쪽式电ꎬ늻不럁妨只횻证횤?컵,lim ?B~?)(?λ?2ꆣ6?λ??…ꆣ?λ?ꎻ，?λ?)?=0?ꎬ电?s?>?日，ꎮ??(3?.8?) 何→∞평由?(3?.?3?)쪽式뗃得?，忽,k磊缸 ??ꆣ?ꆤ?ꎻ???/'番号튻.?、飞?、、.、.嘻?/，튻??、‘.叠叠莓，，ꎮ，?/#1a튻??、、‘鸟，，，，工2S-π 抽7 B 、) eE.} i 、、λ '且λι'.『E 唔、、、{ qd an 2AAE。= 2 -n一伯λꆣ?Aꎮ?A雹i。Z as 电e aE毫‘飞，‘、aH，飞JJꎮ??ꎮ?ꎬ?쏼?튻?ꆣ뇣폐?命k→∞便有?A?B?F]{M?r?E?λꆭ.?.?λꎻ?)? ?= ?O?. ?(?3.?1?0?) ꆪ
캬웕톶 4?期웚?挥돂主랢发살来ꎺ:떥单纯뒿形탎上짏B?e?r?n?s?坦??;?n?多뛠项쿮式쪽的뗄送뗼代듺极벫限쿞?6?0?1? ?再퓙出평?。?三λ?o?À?，??.儿??튻λ?Z?Eꆣ?λ72.ꆭ.λ??·ꆣ???二(?λ?叨?튻λ?~?(ꆣ})?λ?1?.ꆤ ,? .ꆤ?λꆣ.?+λ?~?Iꆣ){??λ?1튻λ~?l?)λ??2?'ꆤ .ꆤ?头?，?÷?…ꆤꆤ+?λ?t?aλ???1?…ꆤꆤꆤλ?7?11ꆯE??(?λ튻eλ?:?:A)? 三(?λ。?碍튻。??)ꆣ?+? (?λ?2튻λ?7?2ꆯ)?÷?…ꆤꆤ+?(λ?a?튻泣?.?)?(? 及벰算쯣子ퟓB?n?的뗄正헽性탔得뗃到떽i?。??三B?~?k)(?λa?À?，?ꆭ儿??;ꎻλ?)?_튻 B?~?k){?λ?2ꆣ0?λ??…ꆭλ???气功??三B?~?k)(?λ。?一튻λ?Z?O、ꎻλ?)?+? B?~?k)?{?λ1?一튻λ?7?1tꎻλ?)?+??.十?B?俨?{?λ?a튻λ??'?:튻λꎻ)?.?(?3?.ꎮ1?2?)? ?令쇮k?→ꆪ∞??，ꎬ并늢利샻用폃(?3.ꎮ?4?)쪽式벰及(?3.ꎮ1?白??〉쪽式뇣使뗃得到떽(?3?.ꎮ的??式쪽，?对뛔于폚任죎意틢的뗄fꎬ(?均??，ꎬB?n?(?fꎬ，ꎬλ?}?可뿉分럖解뷢为캪????() Bn(川=兰ω?????ꇊ?ꆢ?ꎬ???ꎬ?ꎮ??ꇆ?其웤中훐?1:ꎺ=? {?o Eꇊ ?Z’;’+쪮?I 1?101 =??饨ꎬ，?向ꆻ<??n?j=? 0?ꎬ，1?ꎬ…ꆭ、ꎬm?}?.ꎮ于폚是1 1쫇?咛+1)川=ꇆ?主制可)(λ?;对÷Eft)B俨{川λ).(3四????ꎬ??ꎻ???ꇆꇊ??ꎬ?ꆢ?ꎺ????ꎻ??ꎮ????在퓚上짏쪽式中훐令쇮k?→튻∞ꇞ，ꎬ늢并利샻用폃?(?3?.4?)?式쪽及벰(?3.ꎮ5?)?式쪽得뗃到떽的뗄便是뇣(쫇1.??1ꎮ??2)?式쪽.ꎮ?证횤毕뇏-?뚨定理샭2?的뗄证횤明쏷.ꎮ我컒们쏇对뛔?1"1볓加以틔归맩纳쓉.ꎮ?当떱?Irl?二白?草벴Pr? ?=白?时쪱，ꎬ?(?1.ꎮ1?3?)?式쪽河솽边뇟都뚼为캪1?ꎮ?当떱?1，.1?= 1?却벴，.?=? ?e?j (?0?三J??三m?)?쪱B寸、ꎬ口??ꎮ.?1?3)?两솽뇟边都뚼为캪λ?J?ꎮ?볙假定뚨뛔对?IrI?= 5?ꎬ, ?(1?.ꎮ?13?)?쪽式돉成솢立.ꎮ下쿂횤证对뛔?/rl?= ?s ?+ 1?ꎬ, (?1?.ꎮ1?3?)? 죔í巧돉成솢立?.평出맩归쓉纳볙假设짨知횪，ꎬ当떱???rj?二?~??1 ß쪱苦，ꎬ??e<ꆰ-4{? ,-eꎬ,)? ?= 2ꇆ二?百飞\ꎬ??(3?ꎮ.1??5)? 其웤中훐?问叩「…Z??튻?E τ ??ꎮ???可늢并힢注意틢떽3日Y?bꎻ;?-e] ?= ?0춳统一튻퓚在?(?3.ꎮ1??的?式쪽之횮中훐，ꎮ?设짨?At?(?λT)??= ꇆE;?=o??C;?λ飞웤其中훐?C，??(。?三4三?r?)듽待뚨定?샻利用폃?A폫与?εlA뗄的뿉可붻交뮻换탔性及벰?(?2.ꎮ?2)?쪽式뗃得??re() A(主C，A')= e’A (一旷+仨À-，) ꆢ튼?????ꎯ?????ꇆ???튻ꎬ?ꎮ?????????
캬웕톶 ????펦?폃?쫽톧?톧?놨???뻭?002 应用数学学报17卷利샻用폃(?3.?1?5?)?把냑上짏式쪽化뮯成돉?主웞α?(α?li;?À'ꎺ?"+?主aJzzj=?-ꆪai?rl(?主췽C?;.\')?+?兰?叫?含?了斗争?ꎮ问?ꆧ)?ꎬ뛔짏쪽뷸탐헻샭ꎬ늢뇈뷏뗈쪽솽뇟?뗄쾵쫽뿉뗃?，j上式进行整理，并比较等式两边λ军的系数可得(al'!一句I)C，+ l:>川C叶与士Lꇆꎯ?a뛾ꆣ?b?:与喃ꎬ?自??三i?:’ r, (T1?ꎮ??ꎮ?9)? ꆣ?ꎬꎬ?ꇱꏜ튻?ꆢ?j=O ]=0 二其웤中훐当떱意?不늻满싺足ퟣi?Sr?时쪱、ꎬ?C?O?.ꎮ?i(?3.ꎮ1?9?)?实쪵际볊上짏给룸出돶了쇋求쟳?a，??????뗄뗝췆릫뛩ꆫ?쪽ꎺ?(O:’ í三州的递推公式:?(??ꆢ?튻?ꎮꎬ?ꎯ튻튻?ꏜ??ι二E:'~Iꎬ?ꎬ?ꆢ?() ??jꎬ?튻??ꎬrꆭ>i?>白岳lC=ι石c主QTJb;-e一旦川乌扫，)ꆣꇞ?내짏쫶뗝췆?ꇆ릫??쪽?뿉평????내쮳탲?????튻?ꎬ??튻?按上述递撞公式可由C，= EjTI按顺序1'1= Irl -1, 1"1 -2,ꎬ.ꆭ . . ，ꎬ1?雹ꎬB?求쟳出돶所쯹有폐豹뗄巳?(。?三?ꇆ????ꎬ벴랽돌ퟩ?ꎮ???좷뚨뗄???????쫇캨튻뗄ꇆ??쿂쏦컒쏇횤쏷?ꎺ?헽쫇쯼뗄?i<吟，那方程组()确定约C(0 :’ i三r)是唯一的.下面我们证明Ci=b~正是它约뷢iꎮꎬ튲뻍쫇?tA解.也就是e????????ꇆ?ꆣ???ꆣ돉솢ꎮ?(λ')三Z二übiλ2成立ꇆ??ꆮ?뚤??튻?ꆢ?ꆪ??짗튻?ꎯ?=CJ;刊1튻3?1??)主{俨1'1ι;!ZlLf튻????튻?坠?土?1?)?汪?????뛾?主??y??G냋?)G??二튻튻?:?)??ιr州|叶1(仨古讪r旷飞T引巳cf飞川;쯜2 仨?号??剖??挝C?拮?口~ꆪ튻?;??ꆢ?→飞勺(ο:)C 二~) ι ?(?-， ?川?1?忏叫i闪?μ附叫川i什?毡+阳司…十咐1ꎺ?刊?，..?-.??????튻(?) 廿I斗r圳li←←川忡一斗川斗川卅川|4创扫闷1C仁::仁1二;于7一ι叫iiL且叫)....~a'-"I'I) C节7)(:1广a，可与T=(，;)1("丁二:j1〔?T丁17二I7i1)5T J;i) 叫(l131(了斗。且?二ꆪ?1)?古兰(:)C二:)1ꇆ?牛늷??l?d÷l司(问了C~2LR??仨挝;二:i)Hl飞叮tf二zFJ7)(;二扩?? J (:) (:二~)ꇆι{?_튻1?\돥忏?lil?，~.??.튻_?~.\ (|;1斗;i).R’ I ꎮ?????Irl-I;I币严盯?飞?|叶ZF(ir)(tf
캬웕톶 ?4웚期?돂陈랢发살来:ꎺ单떥纯뒿形탎上짏B?e??r?n?st??e?i?n뛠多쿮项쪽式的뗄뗼迭듺代벫极쿞限??6?0?3? 듓从짏上面쏦솽两쪽式得뗃到떽?????ꇆ???튻ꇆ???b????튻????ꎮ??(3?.2?3?) Zαd-句-2>勺+-l;+e= (al~ alij}bi. r1 J2?튻二?o??]?=0?? 헢这쮵说明쏷?C?= ?b; ?(0?三$?三?r)?쫇是方랽程돌组ퟩ?(3.?1?9)?뗄的唯캨一튻解뷢.ꎬ有틠Z豆벴p?e?'A(?λr)??二ꇆ2:?;=obiλ飞出i평?归맩纳쓉假볙设짨，ꎬ?(?1.ꎮ?1?3)?쪽式돉成솢立ꎮi?횤证뇏毕ꎮ?ퟮ最后뫳.ꎬ我컒们쏇给룸出돶两솽个룶推췆论싛.ꎮ?췆推싛论1?ꎮ.设짨ꎬf(??λ)?ꇊE ?C(?的，ꎬ쟒且?imE=?+??∞ꆣ，ꎬ퓲!l!i? ，主→=ηmE??怡、η二二泊中B ?ꎬꎻ?2?λ ?ꇆ??j 、??qꆤa? 碍，?AU?2 ,,一-巧J AJ a3 η??问?? 于폚?σ上짏一튻致훂成돉立솢.ꎮ?证횤ꎮ?辛샻苦폃用춬同뚨定샭理1?完췪全좫쿠相同춬的뗄证횤明쏷可뿉证횤，ꎬ当떱ꎬf(?均??为캪多뛠项쿮式쪽时쪱?(?3ꎮ.?2?4)?돉成立솢.ꎮ?뛔茸茸폚于죎任틢意ꎬf(?λ)?ꇊE ?C(?u)?벰及죎任틢意뎣常数쫽ε?>??0，ꎬ평由?Wei??er?st?r??a.?s:?s뇆逼뷼近뚨定샭理，ꎬ듦存在퓚多뛠项쿮쪽?式抖???抖??使쪹得뗃??Iꎬf(?λ?)? -?p(??λ)?1? ?<ε???ꇆ?? (3? ꎮ??2?5?) ??뛔对任죎意틢?λEꇊ?σ成돉솢立ꎮ?폚于쫇是?ꇆ?????튻ꇆ??뫰????(?3?.ꎮ2??6?)? Lf(ej)λj -LP(勺内1<ε?????????再퓙由평算쯣子ퟓB?n?的뗄헽正탔性有폐?I죕B?~"(?fꎬ;ꎺλi -튻B?~?k)(?p;ꎻλ?}?I <?民??(?3?.ꎮ2?7?)? 从듓而뛸????????|咱们)ꇆꎬ兰?짗?问??忡???ꎬꎺ????ꎻ?????ꎻ??튻ꇆ?????????ꆯ?ꎬ?????ꇆ?????(?3?.ꎮ2?8?)?? +ILP的内一Lf(e)λ)1 J????命n→∞JlP {!导豆????IB~.)(f;λ)-Lf(盼儿;三k() ꆭ??ꎻ??2?二。ꎬ?짗??ꆣ???ꎮ???由평g?的뗄任죎意틢性탔便뇣知횪(?3?.ꎮ?24?)?成돉立솢.ꎮ?推췆论싛2?.ꆤ设짨fꎬ(?λ?)?Eꇊ c?(?的τꎬ且쟒?Jizt=S?雹ꎬI)퓲!!J?I??IB?BF气?ꎬf;ꎻλ?)?=? ꎬf(?λ?)? (?3??.3?0?)? 于σ上一致成立.
캬웕톶 6?0?4?? 펦应?用폃?数쫽字톧?学톧?报놨??1?7뻭誉?迈횤ꎮ出평号틽i理샭2?횪知.ꎬ当떱fꎬ(?均?为캪多뛠项쿮式쪽对쪱电ꎬ量?m???B!.?k)(?fꎬ;ꎺ?λ?)?=ε??O?Afꎬ(?λ?)? =? fꎬ(?λ?}?弓ꆢI벴l~(?3.ꎮ?3?0)? ꆪ?ꇞ?式쪽成돉立솢，ꎮ同춬推췆论싛?l的뗄证횤明쏷类샠似쯆，ꎬ利샻用폃?\Ve?i?er??s?t?r?a回??逼뇆近뷼定뚨理샭及벰算쯣子ퟓB?n?的뗄正헽性탔知횪.ꎬ뛔.1죎"任틢意?ꎬf(?λ)? Eꇊ C?(?σ)?， ?(?3.ꎮ?3?0)?式쪽子폚?σ上짏一튻致훂成돉立솢，ꎮ?推췆싛论?3.ꎮ设짨fꎬ(?λ)?Eꇊ c?(?的?、ꎬ!퓲il뗈~等쪽式?() "写en(BAf;λ)-f(λ))士。튻????ꎬꎻ??튻ꎬ??????????对뛔任죎意틢λ?Eꇊ?σ돉成立솢的뗄完돤要튪条쳵件볾是쫇fꎬ(?λ?}?为캪线쿟性탔函몯数쫽.ꎮ?证횤?充돤纷럖性탔显쿔然좻，ꎬ以틔下쿂证횤必뇘要튪性탔·ꎮ为캪듋此先쿈证횤明쏷.ꎬ若죴J?I?Z?E=?吉?ꎬ，쟒旦벫被쿞限旦??旦??B~?kI(?fꎬ;ꎻ?λ)?뛔对죎任틢意?吃。?存듦在퓚ꎬ则퓲?盯e雪싮1U?旦J且B?d俨?F趴j气i川?ꎬꎻ?=???主ꎬ削?짗?λ??当떱f只ꎬ(?沟λ?)캪为뛠多E项쿮吏쪽式쪱时'ꎬ利샻用폃(1?.?1ꎮ?3?)?式쪽容죝易틗知횪뗀道上짏쫶述结뷡싛论成돉立솢i?这헢只횻需탨注힢意틢到떽，ꎬ当떱I?;:-. ?2? 陈쪱ꎬ?E죕，+ꆣ~ꆣ ?= ?0 벴llP可뿉)?ꎮ.퓙再샻利폃用?\Ve?i?er?s?t?r?剧???艺뇆逼뷼近뚨定샭理벰及쯣算子ퟓ?Bn?的뗄正헽性탔知횪上짏述쫶结뷡싛论对뛔任죎意틢?ꎬf(?λ)? Eꇊ C?(?的?成돉立솢-?下쿂面쏦再퓙回믘过맽头춷来살证횤必뇘要튪性탔?由평?(3.?31?)?知횪，ꎬ对뛔任죎意틢前뗄言??>0?ꎬ咱떱当?π手돤五럖分듳大뫳后????ꎬꎻ??튻?????ꎮ??(3.?32?)? IBn(f;λ) -f(λlI<二于폚是쫇????ꎬꎻ?튻??맧k IB~k)川??ꎬꎻ?튻죕???ꎬ????ꎬ?튻ꎬ??????????쇮令?言→튻1?ꎬ퓲则?헧???ꎬꎻ??튻??뻝??(3?.ꎮ3?4?)? 民BF)出对一f问|王缸再퓙쇮令ε?→튻0??+便뇣有폐?革mBik)ꆯ(?ꎬf;ꎻ?λ)? ?= ꎬf(?λ}? (?3??.3??5)? 뛔对任죎意틢?t;?:-.?() 돉~立솢‘ꆢ从듓而뛸?????ꎬ????ꇆ???ꎬ??(3.ꎮ3??6?) mhz坦Jl虫。B~')(f;λ)= L f(ej}λr j?=?O?? 벴llP ꎬf(?λ?)?为캪线쿟性탔盈몯数쫽.ꎮ?证횤毕뇏-?致훂溜킻:ꎺ本놾问컊题쳢出평常뎣庚룽哲헜教뷌授쫚与폫冯럫玉폱稳教뷌授쫚提쳡出돶，ꎬ在퓚写킴作ퟷ过맽程돌中훐，ꎬퟷ作者헟뗃得떽到了쇋他쯻们쏇的뗄有폐益틦?횸指导떼与폫热죈情쟩鼓맄励샸，ꎬ在퓚此듋表뇭示쪾衷훔心탄的뗄谢킻意틢.ꆢ?参닎考뾼文컄章主쿗?[ 1? 1ꆿ K??e?l.뢬 ..?k y?.ꎬ ?R.ꎮP?.ꎮ回???d?R?i?v?l?i?n哩ꎬT?.ꎮJ?.，ꎬ?l?ter?돛 o??f ?B世??国?ꎮ?飞?.?e?t?n?Po??l?y?n?o?mi?a?!s?.,ꎬ P?a?ε?ꎯi?fi?e? J?.ꎮ 0?1? ?M"?t?h唱ꎬ?19?町??.ꎬ?21? ?(?3)? ???튻???ꎮ?511-521.
캬웕톶 4?期웚?陈돂发랢来살ꎺ单떥纯뒿形탎上짏B?f?t?TIs?t?e?i?n?多뛠项쿮式쪽的뗄迭뗼代듺极벫限쿞?6?0?5? ?[ 2? 1ꆿ l?’\i?l?o?ol?l,ꎮ G? ?划?，ꎬR?i.?e?s?en?f?e?l?d,ꎮ R?.?F?.? a?n?d?? '?\..?v?.?出?盹ꎮN?.ꎮA?.，ꎬI?-?te?r?a?t?e?s?? o?f??M?a?r?k?o?v?? O?p?-e?r?a?t?o?n??l,ꎬ? J. of A?p?p?r?o?.? T?h?电ꎬ1??97?6?雹ꎮ?1?7? (?4?)?,ꎺ 3?2?1?-?-33?1?? [ 3? Jꆿ K?a?r?l?i?n,ꎮ S?.? a?u?d?? Z?i?eg?l?er?吨ꎬZ?叮ꎮI?t?町?a?.?t?i?o?n?o?f? ?P?o?s?血??V?.?f'?A?p?p?r?o?x?i?I?na?妇??Ol?l?O?p?e?r?a?录??。r?s?，ꎬ?J. of A?p?p?r?o?.ꎮ T?h?咽ꎬ1?9?7?1?l号ꎬl?r??(?3?)?, 3?1?[?}-?3?39?? ??뫺펨짺ꎮ쇃쫥쿍ꎬ튻샠뇤닮쯵쯣ퟓ뗄톡듺벫쿞ꎮ펦폃럳톧톧놨ꎬ????ꎬ????ꎺ???????ꎮ?[4 J草草莹生z结叔贤，类变差结威算子的X!tf毛攘攘1应用数学学握，197B. 1 (3). 24G-249号??럫폱ꎬ뎣룽헜ꎮ뚨틥퓚뻘탎짏뗄????????뛠쿮쪽뗄뗼듺벫쿞ꎬ릤돌쫽톧톧놨????ꎬ????ꎺ???????[5 J冯玉险，常庚哲τ定立在垣形上的多项式的迭代极限.王在数学学~，1盹4，1 (2), 137-141 [ 6?]?常뎣凄룽苦헜，ꎬ冯럫五폱瑜1ꎮ富룟维캬区쟸或폲上짏的뗄B?e?r?n?s?t?e?i?n多뛠项쿮式쪽的뗄迭뗼代듺棱벫限쿞雹ꎮ科뿆学톧透춨框놨，ꎬ1?9?8?5?ꎮ????????????????ꎮ?, 30 (17). 12自128B.[7? ]?盖돂在랢发쏗来ꎮ，럫冯폱王瑜ꎬL?i?ruí?t?o?f? ?lt?e?r?a?t?e?s? ?f?o?r? ?B?e?m??s?t?e?i?ll ?P?o?l?Y?D?om?i?a?.?ls oꋨn a S?í?r?up?l?四??蒂ꎮ뗚固届쯄全뷬I좫l맺H볆t算쯣数쫽学톧年쓪全믡?论싛立컄集벯喧ꎮ天쳬撑뷲ꎮ1?9?9?1?.????ꆪ????710-713. [ 8? Jꆿ D?a?h?m?e?n?,? \?\7?. a?n?d? ?M?ic?c?h?e?l?l壁?ꎬ1C??.A?..ꎬ ?CO?n?V??f?'?时y???an?d?? B?町??n?s?t??E'?i?n.?P?o?l?}’T?Io?m?i?a1?s ?o??n? k??=昆??m?p?l?O?1?ds?ꎬ，A?c?t?a?? M?a?t?h? ?A?p?p?l?. S??m?~?c?a?.，? 1??99?0?电ꎬ6?(?1?)?ꎺ.5?(?1-?→6?6?.ꎮ?. ’ 飞smE
?즭쇖쯕?쾵?뫕?ꎬ?닣?캬퇐웕톶? 各样织岳车统;;.J林的〉若是万于主y前뗚第?17?뻭卷第뗚4?期웚?应펦用폃数쫽学톧学톧报놨??V?o1?.?l7?? ?No?Aꎮ?? ?1?9?9?4年쓪?1?0퓂月??AC?T?A?l??元，1A?'τ?H?E?M?A?T?I?C?A?E???A?PP?L?I?C?A??T?A?E? ?S?I?N?IC?A?? ꎮ-?Oc??Lꎮ、ꎬ工??吉9?4??e 林쇖龄쇤E쏦积믽转移틆方랽程돌解뷢的뗄性탔质훊*????튻??于폚景뺰元풪?bD b-61L ?놱뺩탅쾢뫍뿘훆퇐뺿쯹ꎬ?놱뺩?ꆭꆣꆢS??7 /ꎯ1 ?{北京审息和控剥研变坷，北京100旧00)王췵文컄草캵F?L/魏캺礼샱平욽"?샮李廷퇓绿놣?~寸主?뚫言쓏文듳学톧教뷌学톧系쾵.ꎬ?*쓏京뺩?21?∞??1?8?)?. 훬朱广맣田쳯?(?훐中맺国뿆科톧学풺院系쾵统춳科뿆学톧研퇐究뺿所쯹，ꎬ?北놱京뺩?1?00??08?0?)?????????????????????????????????????????PROPERTIES OF THE SOLUTION OF EVOLUTION ?FO??R? A??N? A?G?E??-S??T?R?U?C?T?U?R?E?D? ?F?O?RE?S??T? S??Q?U?A?R?E? Y??u? J?I?到??GY?C?A?N??(??B叩??呵???In?s?t?i阳??te?of I?n?f?o?rm?a?h?o?n? ?a??n ?d? C??o?nt?ro?l?,ꎮ B?e??岳?呵??1?制????00?0?)?飞?毛?'?;A?N?G?￥?VE?N?W?E?l?? ￥?VE?1? ??????????????????LIPING LI YANBAO (??8四??t?h?ea?s?t??U?n?me?r?s?it?y?, N?由??，?j?in?g?2?1?0??0?1?8?) ??????????????ZHU GUANGTlAN ?(I?n?st?1t?u?te? 0?1ꎯ ?Syst?em?..s? S?c?自?昆??明?，??T??he? ?Ch?ì?阴?阳??A?四???de?r?ny??01ꎯ S?c?i?e?nc?e?.s?.ꎬ B?叩??可????1?00?0?蚓????????????Abstract ?????????????ꎬ??????????????????????????????????????????????????????????????????????????In t垣15pape:rτwep室。 existence and u国quen回sof 也fsolution归anag'阜structured?f?o目??前????e?qu?a?t?î??o?n?b??y? u?s?i??n罩??在?h?e??t?主??e?o?η??o?f???Co?ꆪ-s?e?m?i?g?r?o?u?p?_ꎮ T?h??e? a??s?y?m?pt?o?t?i?c?? a??n?d? u?n?d?u?l?a??ti?ng?? c??h?ar??›?a?c?t?.?e?r?i?s?ti?c?? o??f? ?th??e? 5??01? u?在??i?o?n?i?s?? ?o?b? ?森즭林쇖发랢展햹系쾵统춳的뗄研퇐究뺿(货?源풴预풤测닢，ꎬ采닉伐랥，ꎬ控뿘制훆)?长뎤期웚进뷸行탐定뚨性탔研퇐究뺿.ꎬ?8?0年쓪代듺定뚨量솿研퇐?究뺿成돉了쇋热죈课뿎题쳢[ꆾ?1，ꆤ?21ꎮ这헢些킩研퇐究뺿所쯹采닉用폃的뗄模쒣型탍属쫴于폚开뾪环뮷系쾵统춳，ꎮ没쎻有폐把냑森즭栋쇖的뗄增퓶生짺同춬森즭林쇖的뗄?自ퟔ좻然쯀死췶亡뫍和죋人릤工닉采랥佼뷡结뫏合웰起살来ꎮ.떫但ퟷ作캪为즭森쇖林랢发햹展놾本짭身살来붲讲，ꎬ쯼它们쏇뇘必然좻솪联系쾵在퓚一튻起웰aꎮ本놾文컄?쫇是把냑森즭栋쇖的뗄增퓶生짺-ꎮ采닉?쿻肖뷡结뫏合돉成튻一룶个헻整쳥体{?뇕闭뮷环쾵系춳统?}뷸进탐行퇐研뺿究ꎬ，듋此쪱时쏨播쫶述즭森쇖林쾵系춳统뗄的랢发展햹?本놾컄艾1?9?9?1?年쓪6?月퓂?10?日죕쫕收떽到ꎮ本놾文컄1?国??2?年쓪1?1?퓂月5?日죕쫕收到떽修탞改룄稿룥.?.맺国볒家ퟔ自좻然뿆科学톧基믹金뷰资助훺课뿎题쳢-?叫ꆱ现쿖在퓚在퓚中훐建맺矿뿳业大튵学듳室톧主쫽力솦系쾵.ꎮ?j i
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