Accession Number : AD0703651

Title :   ON INTEGRALS OF A CLASS OF MEASURABLE FUNCTIONS,

Corporate Author : CALIFORNIA UNIV BERKELEY OPERATIONS RESEARCH CENTER

Personal Author(s) : Stalford,Harold L. ; Leitmann,George

Report Date : FEB 1970

Pagination or Media Count : 13

Abstract : An integral is evaluated whose integrand is nonnegative, measurable, and possesses the property of being integrable over closed intervals contained in an open dense subset of the interval of integration, where this open dense subset is the complement of a countable closed subset of the interval of integration. Applications to control theory and differential game theory, where these integrals were first used, are mentioned. (Author)

Descriptors :   (*CONTROL SYSTEMS, INTEGRALS), (*GAME THEORY, INTEGRALS), (*INTEGRALS, THEOREMS), MEASURE THEORY, SET THEORY, NUMERICAL INTEGRATION

Subject Categories : Theoretical Mathematics
      Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE