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12、extensionsofSingularDifferentialOperatorsandtheProductsofOperatorsAbstractTheresearchoflinearHamiltoniansystemsoriginatesfromvariousofpartsofappliedmathematicsandphysics.Itisoneofthemostactivefieldsthatisstudiedinnonlinearfunctionalanalysis.Thesystemsofdifferentialequationsarei
13、mportantpartsindifferentialequations.Thestructurestheypresenthavetheprofoundsignificanceofphysicalbackgroundsandmathematicalmodels.So,thestudyofdifferentialequationandfurthermorethesystemsofdifferentialequationshasprofoundlyintrinsicvalue.Spectraltheoryofboundaryvalueproblemsfor
14、(systemsof)differentialequationsarethecombinationofthetwo.Theyarebothnewandv