脈沖微分系統(tǒng)的周期問(wèn)題.pdf

1、學(xué)校代碼：—102—00分類(lèi)號(hào)：Q!15112⑨研究生學(xué)號(hào)：密級(jí)：東牡嶧菹大莩博士學(xué)位論文脈沖微分系統(tǒng)的周期問(wèn)題。9000121213102981無(wú)PeriodicProblemoftheImpulsiveDifferentialSystems作者：張曉穎指導(dǎo)教師：王克教授學(xué)科專(zhuān)業(yè)：應(yīng)用數(shù)學(xué)研究方向：應(yīng)用微分方程?hào)|北師范大學(xué)學(xué)位評(píng)定委員會(huì)2005年10月AbstractThispaperdiscussmainlytheexistence

2、ofpositivesolutionstoperiodicboundaryvalueproblemsforfirstorsecondorderimpulsivedifferetialequationsInadditionimpulsivedifferentialequationsappliestobiologicalsystem，meanwhile，theoptimalharvestpolicy、砸t11impulsiveharvest

3、isconsideredThispaperincludemostofresearchworkwhentheauthorpersueherPhDdegreeThewholecontentsisdividedintofivechaptersChapter1，asthebeginningofthispapegofferssomerelativeknowledge，suchaspreliminaryqualitativetheoryofdiff

4、erentialequation，basistheoryofnonlineartime—tionalanalysis，theoryofimpulsivedifferentialequationChapter2，weobtainedtheexistencepositiveperiodicsolutionsofperiodicbound—amyvalueproblemforfirstorderLotkaVolterraintegraldif

5、ferentialequationwitllim—pulseeffectsandfirstorderimpulsivedifferentialequationwithdelayWemainlyconcernstheexistenceofthenonlinearcontinuoussystemsthathavepreviouslyappearedinthepopulationdyanmicsliteraturesuchassinglesp

6、ecieslogisticgrowthmodels，themodelofbloodcellproduction，andSOonNeweasilyverifiablesufficientconditionsarederivedwhichimproveandgeneralizerelatedresultsChapter3，F(xiàn)ocusesontheexistencepositiveperiodicsolutionofperiodicbound

7、—aryproblemforsecondorderimpulsivedifferentialequationAsweallknowthesee—ondorderimpulsivedifferentialequationhasmuchimportantphysicssignificancetostudyThemethodusedhereisahemat／veLeraySchaudertypeandonthekrasnosel—skiifi

8、xedpointtheorem，andstudiedtheperiodicsolutionofrepulsivesingulardifferentialequationwithimpulseeffectsChapter4，usingthecoincidencedegreeandtheprioriestimations，discussthenonantonomousimpulsivedifferentialequations，includ

9、ingapredatorpreysystemandacooperativesystemsChapter5，combinedthefeasibleprinciple，speciallyconsidersuppositionofim—pulsiveharvestandstudysustainabledevelopmentofbiologicresourcesundertheim—pulsiveharvest，derivetheexisten