Mathematical Sciences: Nonlinear Functional Analysis
{'Code': '03040100', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Michael Steuerwalt', 'PO_EMAI': None, 'PO_PHON': None}
This project concerns mathematical questions deriving from                 classical results on the arithmetic-geometric mean inequalities                 which have many connections with diverse parts of mathematics.                  One can view the arithmetic and geometric mean of two numbers as                an ordered pair and then iterate this pairing.  In doing so, one                always arrives at a limit of equal numbers.  This principle will                be studied in the context of functional analysis in which the                   objects of the iteration are noncommuting linear operators and                  the process, instead of computing means, is a more general one of               mappings of the interior of a cone into itself.  The objective                  will be to find unique fixed rays (eigenvectors).  Applications                 are expected to be made to questions arising in population                      biology.  Other, continuing, work will be done on delay-                        differential equations in the context of a singular                             perturbations.  The objectives here are to determine whether or                 not nonconstant periodic solutions can be predicted - especially                of period four, a problem which occurs in the study of boundary                 layer phenomena.
{'FirstName': 'Roger', 'LastName': 'Nussbaum', 'PI_MID_INIT': 'D', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Roger D Nussbaum', 'EmailAddress': 'nussbaum@emeritus.rutgers.edu', 'NSF_ID': '000204847', 'StartDate': '07/15/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'Rutgers University New Brunswick', 'CityName': 'NEW BRUNSWICK', 'ZipCode': '089018559', 'PhoneNumber': '8489320150', 'StreetAddress': '3 RUTGERS PLZ', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'New Jersey', 'StateCode': 'NJ', 'CONGRESSDISTRICT': '12', 'CONGRESS_DISTRICT_ORG': 'NJ12', 'ORG_UEI_NUM': 'M1LVPE5GLSD9', 'ORG_LGL_BUS_NAME': 'RUTGERS, THE STATE UNIVERSITY', 'ORG_PRNT_UEI_NUM': None}
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[{'Code': '1261', 'Text': 'CLASSICAL ANALYSIS'}, {'Code': '1266', 'Text': 'APPLIED MATHEMATICS'}]
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