29636.高階亞純系數(shù)非齊次線性微分方程解的零點(diǎn)

1、目錄摘要iAbstractii第一章線性微分方程解的零點(diǎn)的研究近況l11二階線性微分方程解的復(fù)振蕩的研究近況112一類高階微分方程的解的研究近況3第二章高階亞純系數(shù)非齊次線性微分方程解的零點(diǎn)521引言與結(jié)果，。，，522證明中所需引理623定理21的證明724定理22的證明1025定理23的證明12參考文獻(xiàn)14致謝，15AbstractInthispaper，wemainlyinvestigatezel“08ofsolutionsfor

2、s。me11igher。rdern咖homogeneouslineardifferentialequationswith1TIeroInorphiccoemcientsWedividethispaperintotwochaptersInchapter1，wemakeabriefintroductionoflatestdevelopmentofthisresearchfieldInchapter2，weinvestigatetheprob

3、lems。fzeros。fs。luti。n8fors。mehigherordernonhomogeneouslineardiffel’entialequationswithfileromorphiccoefIicientsWhe，A，0isameromorphicfunctionthatsatisfiesJ(o。，Ao)：d(o)and，1ira。。墊堅(jiān)loi!g二r生2=∞，if^and如aretwolinearlyindepende

4、ntmer。二。rph；cs。ti。nsofequation，(‘)4k—l，(‘一1)Ao，：只weobtainmaXX(^)，X(，2))=∞Andwealsoinvestigatetheeasesthat仃(F)：。0，?！?。meAd(1≤d≤七一1)satisfieS，1im。警=∞Keywords：OrderofgrowthDifferentialequation；11Exponentofconvergenceofzeros