非線性時(shí)滯差分方程周期解的臨界點(diǎn)方法.pdf

1、非線性時(shí)滯差分方程周期解的臨界點(diǎn)方法，IlIitleMajorNameApplicationsofCriticalPointTheorytoPeriodicSolutionsofNonlinearDelayDifferenceEquationsQiupingXmgABSTRACTThisthesisismainlyconcernedwiththeexistenceandmultiplicityresultsforthenontrivia

2、lperiodicsolutionstothenonlineardelaydifferenceequationAx(n)=f(n，x(n—T))Byusmgthecriticalpointtheoryfortheequationaboveanditstwospecialcas髑aseriesofb；IlfllcientconditionsontheexibCtenceofperiodicsolutionsareobtainedinthe

3、casethatlsatisfiessomekindsofgrowthconditionsInaddition、someexamplesaregiventoillustratetheavailabilitiesofmainresultsChapter2mainlycontributestothenonlineardifferenceequationwiththesimplestdelay△z(扎)=／(x(n一1))If，∈C(R，R)

4、is腿oddfunction，theperiodicsolutionswithperiod6correspondtothecriticalpointsofafunctionaldefinedinaHilbertspacewithfinitedimensionByapplyingthecriticalpointtheorysomeresultsontheexistenceofnontrivialperiodicsolution麗thper

5、iod6areobtainedrespectivelyfortheca$e8when，growsabTmptoticaUylinear，bⅪaperlinerandsublinearbothatzeroandatin缸tyInChapter3，theapproachesusedinchapter2areemployedtostudyperiodicsolutionstothenonlineardifferenceequationwith