一類二次非線性奇攝動Robin問題的漸近解.pdf

1、華東師范大學(xué)碩士學(xué)位論文一類二次非線性奇攝動Robin問題的漸近解姓名：盧西莊申請學(xué)位級別：碩士專業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：倪明康20090901ABSTRACTInthispaper，theasymptoticsolutionforakindofquadradicnonlinearsingularperturbationrobinproblemsI∥”=(Y’)2h(y)(JIl(y)0，0／z《1)【y(o，∥)y’(o，∥)=彳，yO

2、，∥)Y’(1，∥)=Bisgivenbythemethodofboundaryfunctions，anditsuniformvalidityisdiscussedundersomeconditions，moreover，ThenhorderasymptoticestimateisobtainedInsection1，wesimplyintroducedthedevelopmentinsingularperturbation，andin

3、troducetheworkthathasbeendoneInsection2，theproblemstobesolvedarepresentedatfirst，themethodofboundaryfunctionwasusedtoconstrusttheuniformlyvalidasymptoticsolutionsoftheproblemswediscussedAtthesametimetheexistenceandunique

4、nessofsolutionandtheestimationofremainderfortheproblemsaregivenAnd，someinterrelatedproblemsareshownforthereaderstothinkaboutandworkoutInsection3，anexampleisraisedtosupportourresultsKeywords：singularperturbation；boundaryf