multidimensional inverse problems for differential equations

《multidimensional inverse problems for differential equations》由会员上传分享，免费在线阅读，更多相关内容在学术论文-天天文库。

1、LectureNotesinMathematicsAcollectionofinformalreportsandseminarsEditedbyA.Dold,HeidelbergandB.Eckmann,Z0rich167Lavrentiev.RomanovVasilievComputingCenteroftheAcademyofSciencesNovosibirsk/UdSSRMultidimensionalInverseProblemsforDifferentialEquations$Springer-Verla9Berlin-H

2、eidelberg.NewYork1970ISBN3-540-05282-8SpringerVedagBerlinHeidelbergNewYorkISBN0-387-05282-8SpringerVerlagNewYorkHeidelbergBerlinThisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,specificallythoseoftranslation,reprinting,re-u

3、seofillustrations,broadcasting,reproductionbyphotocopymgmachineorsimilarmeans,andstorageindatabanks.Under§54oftheGermanCopyrightLawwherecopiesaremadeforotherthanprivateuse,afeeispayabletothepublisher,theamountofthefeetobedeterminedbyagreementwiththepublisher.©bySpringer

4、-VerlagBerlin-Heidelberg1970.LibraryofCongressCatalogCardNumber70-140559.PrintedinGermany.Off~druck:JulimBdtz,Weinhdm/Bergr,.r.CONTENTSINTRODUCTION...................................................IVCHAPTERI-SomeProblemsofIntegralGeometry.................11.ProblemofDe

5、terminingaFunctionfromIntegralsoverEllipsoidsofRevolution................................22.GeneralizationtoAnalyticCurves.......................103.ProblemofDeterminingaFunctioninsideaCirclefromIntegralsalongaFamilyofCurvesInvarianttoRotationabouttheCenteroftheCircle..

6、........................134.OntheProblemofDeterminingaFunctionfromItsMeanValuesoverCircles.....................................19CHAPTER2-LinearizedInverseDynamicProblemfortheTelegraphEquation...........................................22I.StatementoftheInverseProblemand

7、ItsLinearization..222.Linearized0ne-DimenslonalInverseProbleminTwo-DimensionalSpace.......................................245.TwoFormulationsoftheLinearlzedInverseProbleminThree-DimenslonalSpace.................................284.DerivationofaNonlinearDifferentialEquat

8、ionfortheInverseProblem.........................................31CHAPTER3-LinearizedInverseKinematicProblemfo