高阶时滞分方程振动性的若干问题.pdf

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2、dApplicationsofFunctionalDierentialEquationsDegreeMasterofScienceUniversityXiangtanUniversityDateMay30th,2012‰ŒÆÆØ©M5(²¤JŠ¬.é©ïĉѕ‡z‡<Ú8N,þ®3©¥±²(•ªI².<¿£(²{ÆJd<«ú.Šö¶µFϵcFÆØ©‡¦^ÇÖÆØ©Šö)Æk'3!¦^ÆØ©5

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6、,¿ïá#'½n9Philos.Ľn.'…c:pž¢©•§;¥á.;Ä5;š‚5;•ª).IAbstractInthispaper,wediscusstheoscillationforaclassofdierenceequationofevenorderwithretardedargumentandtheodd-ordernonlinearneutraldelaydierenceequation.Thispaperincludestwoparts,InChapter2,necessaryandsucientarefoundforoscillationofthesolutio

7、nsofaclassofstronglysuperlinearandstronglysublineardierenceequationsofevenorderwithretarderargumentbySchauder'sxedpointtheoremandproofbycontradiction.InChapter3,wediscusstheoscillationforaclassofodd-ordernonlinearneutraldelaydierenceequation,byusingtheproofbycontradiction,theoscillationofsolution

8、sfortheodd-ordernonlinearneutraldelaydierenceequationareobtained.Keywords:High-orderdelaydierenceequation,Neutral,Oscillation,Non-linear,Eventuallypositivesolution.II8¹11ÙXØ........................................................(1)1.1ïĵ.......................................................(1)1

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