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A Nonlinear Singular Integral Equation of the Type of Low Scattering Equation; OB OGNOM NELINEINOM SINGULYARNOM INTEGRAL'NOM URAVNENII TIPA URAVNENII RASSEYANIYA LOU

Technical Report ·
OSTI ID:4817459
A nonlinear singular integral equation of type of the Low scattering equation and the corresponding nonlinear boundary problem in the theory of analytical functions are considered. The problem is formulated somewhat more generally. It turns out that there exists a new class of solutions. An explicit form of all the solutions is found. In particular, an equation of this type which has no solution is given as an example. (auth)
Research Organization:
Joint Inst. for Nuclear Research, Dubna, U.S.S.R. Lab. of Theoretical Physics
NSA Number:
NSA-16-024913
OSTI ID:
4817459
Report Number(s):
JINR-P-890
Country of Publication:
USSR
Language:
English