兩類最大差分方程的動(dòng)力學(xué)性質(zhì).pdf

1、廣西大學(xué)碩士學(xué)位論文兩類最大差分方程的動(dòng)力學(xué)性質(zhì)姓名：秦斌申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：基礎(chǔ)數(shù)學(xué)指導(dǎo)教師：曾凡平20080625ABSTRACTInthisthesis，thedynamic8，ie，theperiodcharacterandtheboundednessnatureofthesolutionsoftwoclassesofmaxdi抒brenceequations)arestudied，whichgeneralizesomekn

2、ownresultsW6organizethethesisasf01lo、幅：InChapterone，We!introducebrienythehistoricbackground，therecentdevelopment‘e11dence，thebasicnotionsofthedi艉renceequatio璐andthemainresultsofthispaperJnchaptertwo，weinvestigatethedynam

3、icsofthedifferenceeauation，14。zn1=max=一，=—二L)，n=0，l，，“nm禮一mwhere如)巽oisasequenceofpositivereal?、騦berswitho≤inf如≤supA死：o1，theinitialconditionsz—m，z—m1，，zo∈(o，。。)w6showthateverypositivesoiutionofthisequationisboundedandobta

4、inthefbllowingresults：i1)whenm=1，1et‰)墨一lbeap。sitivesoluti。nofthisequationands=limsu％一o。％(i)IftherecXisti11fiIlitelyIna】叮億suchthatzn≥SaIld％1≥S，thenz?！可鮡VentuaJlyequalto1(ii)Iftheree)【istsⅣsuchthatzJI、r2七Sa以dzⅣ2七一l≥Sfbral

5、l尼≥0，thenzⅣ2七——l／SandzⅣ2七一1——S(iii)If厶)茫。beaneventuallyperiodicsequence，thenz他器～1iseventuallyperiodicWithperiod2(2)Whenm=2露，everypositivesolutionsofthisequationiseventuallyperiodicwithperiod2Inchapterthree，Weilwestigatet

6、hedynamicsofthedi艉renceequation％l=max％，警)，禮=o，1，“7nwhere％黯。isaperi。dicsequencewithperi。d七and％∈(o，o。)forevery禮≥o，gcd(3，忌)=1，andtheinitialconditio璐z一2，z—l，zo∈(o，o。)w，eshowthateverypositive80lutionofthi8equationi8boundedKEY