關(guān)于一個(gè)二階非線性中立時(shí)滯微分方程的非振蕩解.pdf

1、遼寧師范大學(xué)碩士學(xué)位論文關(guān)于一個(gè)二階非線性中立時(shí)滯微分方程的非振蕩解姓名：郭振宇申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：劉澤慶20080301AbstractContent：Amoreecumenicalsecondordernonlinearneutraldelaydifferentialequation(r(￡)o(t)P(芒)z(tr))’cro)o(t)一z@一丁)))7F(t，z(t—crl)，z(亡一ar2)，，z(t一％

2、))=G(t)，t≥to，whereT0，‘Yl，硯，，％≥0，P，7∈c([t0，oo)，R)，F(xiàn)∈c(‰，∞)ⅡP，R)，G∈c([to，oo)，R)andcisaconstant，isstudiedinthispaper，andsomesufficientconditionsforexistenceofnonoscillatorysolutionsforthisequationareestablishedandexpatiated

3、throughfivetheoremsaccordingastherangeofvalueoffunctionP(￡)Thesetheoremsalemainlyproofed嬲followsAtfirst，constructacontractionmappingT：S_XonanonempWclosedconvexsubsetSoftheBanachspaceXandilluminatethemappingTisaselfmappin

4、gonsubsetSbythemethodofclassifieddiscussionAfterwards，makeuseofBarnachcontractionmappingtheorytogainauniquefixedpointz∈SofmappingZandthenthe丘)(edpoint$isasolutionoftheaboveequationInthelastsection，fiveexamplesarepresente

5、dtoillustratedtha土0111“worksarepropergeneralizationsofthecorrespondingresultsofKulenovicandHadziomerspahic【8】，ChengandAnnie【3】，YuandWang【16]Fhrthermore，ourresultsomittherestrmtmnofQ1(t)dorainatingQ2(t)(Seeconditioncinthe

6、te】(t)Inaddition，becauseofthelimitofabintyandknowledge，forsomerangeofthevalueoffunctionP(t)，theexistenceofnonoscillatorysolutionsfortheaboveequationisinextricabilityinthispaperTherefore，inordertosolvetheexistenceofnonosc