Accession Number : AD0734147

Title :   The Solution of a Certain Nonlinear Riemann-Hilbert Problem with an Application.

Descriptive Note : Technical rept.,

Corporate Author : NEW YORK UNIV N Y COURANT INST OF MATHEMATICAL SCIENCES

Personal Author(s) : Peters,Arthur S.

Report Date : NOV 1971

Pagination or Media Count : 28

Abstract : The report shows that the nonlinear barrier equation F(+)(zeta)F(-)(zeta) + mu(zeta)(F(+)(zeta) + F(-)(zeta)) + sigma(zeta) = 0 can be solved in closed form provided mu(zeta), sigma(zeta) are Holder continuous and so related that signa(zeta) + S squared(zeta) + 2S(zeta)mu(zeta) = ((zeta)-alpha)(zeta-beta)) sup Kappa t squared(zeta) where s(zeta) and t(zeta) are rational functions and kappa = 0, or 1. (Author)

Descriptors :   (*COMPLEX VARIABLES, PROBLEM SOLVING), MEROMORPHIC FUNCTIONS, ANALYTIC FUNCTIONS, INTEGRAL EQUATIONS

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE