次二次差分方程周期解.pdf

1、湖南大學(xué)碩士學(xué)位論文次二次差分方程周期解姓名：李建偉申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：周展20050425次二次差分方程的周期解IIAbstractInthispaperwestudytheexistenceofperiodicsolutionsofaclassofhigherderdifferenceequationshigherdimensionaldifferencesystems.weobtainsomeimptantr

2、esultssomeofwhichextendsometheemsinrelevantpapers.Thepaperiscomposedoftherechapters.Inthefirstchapterweintroducethebackgroundofproblemsearchingtherecentdevelopmentsoftheresearchinthisfieldwhatwehavedoneinthispaper.Atthes

3、ametimesomebasicdefinitionsaregiven.Furthmeweillustratetheimptanceofourwkintheypractice.Inthesecondchapterfirstlywediscusstheexistenceofperiodicsolutionssubharmonicsolutionsofaclassofhigherderdifferenceequationsbeingunde

4、rtheconditionsofsubquadratichalfpositivedefinitedmatrixbyusingcriticalthey.WegainsomenewresultsextendtworesultsofGuoYuinpaper[29].Secondlywediscusstheexistenceofperiodicsolutionssubharmonicsolutionsoftheaboveclassofsubqu

5、adratichigherderdifferenceequationsbeingundertheconditionofpositivedefinitednegativedefinitedmatrixbyusingminimaxmethod.Wegainsomenewresults.Inthethirdchapterwediscusstheexistenceofnontrivialperiodicsolutionsofaclassofse

6、condderdifferenceequationswhichbeingwiththeconditionofsubquadraticlinearity.Wegainsomeimptantresults.Inthefourthchapterwediscusstheexistenceofperiodicsolutionsofaclassofhigherderdifferenceequationsunderthegeneralconditio