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1、InternationalSeriesinOperationsResearch&ManagementScienceVolume135SeriesEditorFrederickS.HillierStanfordUniversity,CA,USASpecialEditorialConsultantCamilleC.PriceStephenF.AustinStateUniversity,TX,USAForothertitlespublishedinthisseries,gotohttp://www.springer.com/series/6161
2、TerryL.FrieszDynamicOptimizationandDifferentialGames123TerryL.FrieszPennsylvaniaStateUniversityDept.Industrial&ManufacturingEngineering305LeonhardBuildingUniversityPark,Pennsylvania16802USAtfriesz@psu.eduISBN978-0-387-72777-6e-ISBN978-0-387-72778-3DOI10.1007/978-0-387-7277
3、8-3SpringerNewYorkDordrechtHeidelbergLondonLibraryofCongressControlNumber:xxxxxxxxxxcSpringerScience+BusinessMedia,LLC2010Allrightsreserved.Thisworkmaynotbetranslatedorcopiedinwholeorinpartwithoutthewrittenpermissionofthepublisher(SpringerScience+BusinessMedia,LLC,233Spri
4、ngStreet,NewYork,NY10013,USA),exceptforbriefexcerptsinconnectionwithreviewsorscholarlyanalysis.Useinconnectionwithanyformofinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilarmethodologynowknownorhereafterdevelopedisforbidden.Theusei
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6、)ContentsPreface...............................................................................xiii1Introduction...................................................................11.1BriefHistoryoftheCalculusofVariationsandOptimalControl....21.2TheBrachistochroneProblem...
7、......................................41.3OptimalEconomicGrowth............................................51.3.1Ramsey’s1928Model........................................51.3.2NeoclassicalOptimalGrowth................................61.4RegionalAllocationofPublicInvestment
8、............................71.4.1TheDynamicsofCapitalFormation.........................8