Accession Number : AD0267835

Title :   An Analytical Approach to the Differential Equations of the Birth-and-Death Process.

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Report Date : AUG 1961

Pagination or Media Count : 1

Abstract : hi analysis presents a purely analytial approach to the problems of uniquenes and existence for the forward and/or bakward differential equation of the so-called birth-and-death process. In this method of proof, neither the uniqueness nor the existence offers any great difficulty. The major effort is spent in obtaining for many cases of interest an explicit representation of all the possible solutions. (Author)

Descriptors :   BIRTH, COMPLEX NUMBERS, DIFFERENTIAL EQUATIONS, FUNCTIONS(MATHEMATICS), GROUPS (MATHEMATICS), INEQUALITIES, INTEGRAL EQUATIONS, INTEGRAL TRANSFORMS, MEASURE THEORY, POLYNOMIALS, PROBABILITY, SERIES(MATHEMATICS), STATISTICAL PROCESSES, TRANSFORMATIONS (MATHEMATICS)

Distribution Statement : APPROVED FOR PUBLIC RELEASE