简介:Inthispaper,analmostP-stabletwo-stepsixth-orderHybridmethodwithphase-lagoforderinfinityandaclassexpliciteighth-orderObreckoffmethodswithphase-lagoforder10-24aredevelopedforthenumericalintegrationofthespecialsecond-orderperiodicinitial-valueproblems.Thesemethodshavetheadvantageofhigheralgebraicorderandconsiderablysmallerphase-tagcomparedwithsomemethodsin[1-6].Numericalexamplesindicatethatthesenewmethodsaremoreaccuratethanmethodsdevelopedby[1-6].
简介:一个新上面、更低的答案理论为第二个顺序问题(G'(y))被介绍“+f(t,y)=0在有限、无限的间隔上。有限间隔上的理论基于一种Leray鈥揝chauder选择,而无限的间隔上的理论在有限间隔和一个diagonalization过程上基于结果。关键词上面、更低的答案-无限的间隔-diagonalization过程-Leray鈥揝chauder选择先生(2000)题目分类34B15-34B18-34B40由捷克的共和国的资助机构和捷克的政府J14/98:153100011的委员会的资助号码201/01/1451支持了
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简介:Thedifferentregioselectiveandstereoselectiveproductswereobtainedbythereductionofstigmast-4,22-dien-3,6-dionewithNaBH4-CH3OHwhendifferentkindsofmetalionswasaddedtothereaction.
简介:TwoseriesofterritremBanalogues(10a-10cand18)havebeendesignedandsynthesizedfromjujubogenin5awhichwaspreparedfromjujubogeninglycosides5bobtainedfromtheleavesofZizyphusjujuba.Thestructuresofthenewcompoundswereconfirmedby1H-,13C-NMRandMSdata.Compounds10cand18showedweakinhibitoryeffectonAChEat10^-4mol/E.
简介:Lophenol,cholest-4α-methyl-7-en-3β-ol(1),obtainedfromDracaenacochinchinensis(Lour.)S.C.Chen,wasstructurallymodified.Itwasacetylatedtoprotect3β-hydroxylgroup,andthenoxidisedbyseleniumdioxideinaceticacidtogivecholest-4a-methyl-8-en-3β,Ta-dioldiacetate(3).Thiscompound3isunstableinchloroformsolutionorwhenheatedandeasilyconvertedtoadienecompound,cholest-4a-methyl-7,14-dien-3β-olacetate(4).Thestructuresof3and4wereelucidatedbymeansofIR,^1HNMR,^13CNMRandMS,andtheabsoluteconfigurationof3wasestablishedbyX-raycrystallography.Thepropertyof3wasalsodiscussedinthispaper.Both3and4arenewcompoundsandwerereportedforthefirsttime.
简介:Wepresenttheextendedhydrogenatomandmonopole-hydrogenatomtheorythroughgeneralizingtheusualhydrogenatommodelandwithamonopolemodelrespectively,inwhichY(sl(2))algebrasarerealized.WederivetheHamiltoniansofthetwomodelsbasedontheY(sl(2))andthegeneralizedPauliequation.TheenergyspectraofthesystemsarealsogivenintermsofYangianalgebraandquantummechanics.
简介:给出了Banach空间中线性离散时间系统一致与非一致多项式膨胀性的概念,使其在相应空间中范数的增长速度不快于指数型增长,并用实例阐释了二者的关系.借助于指数型膨胀性的研究方法,讨论了其非一致多项式膨胀性的离散特征.作为应用,利用Lyapunov函数给出了相应概念的充要条件.得到了指数膨胀性理论中一些经典结论在非一致多项式膨胀情形下的变形.