Open AccessKeldysh problem for Pulkin’s equation in a rectangular domain
Author(s) -
Rimma Safina
Publication year - 2015
Publication title -
vestnik samarskogo universiteta. estestvennonaučnaâ seriâ
Language(s) - English
Resource type - Journals
eISSN - 2712-8954
pISSN - 2541-7525
DOI - 10.18287/2541-7525-2015-21-3-53-63
Subject(s) - mathematics , bessel function , uniqueness , mathematical analysis , boundary value problem , convergence (economics) , uniform convergence , completeness (order theory) , domain (mathematical analysis) , fourier series , computer science , computer network , bandwidth (computing) , economics , economic growth
In this article for the mixed type equation with a singular coecient Keldysh problem of incomplete boundary conditions is studied. On the basis of property of completeness of the system of own functions of one-dimensional spectral prob- lem the criterion of uniqueness is established. The solution is constructed as the summary of Fourier-Bessel row. At the foundation of the uniform convergence of a row there is a problem of small denominators.Under some restrictions on these tasks evaluation of separation from zero of a small denominator with the corresponding asymptotics was found, which helped to prove the uniform con- vergence and its derivatives up to the second order inclusive, and the existence theorem in the class of regular solutions.