Keldysh problem for Pulkin’s equation in a rectangular domain



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Abstract

In this article for the mixed type equation with a singular coefficient 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.

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R.M. Safina

Volga Region State Academy of Physical Culture, Sport and Tourism

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Email: morenov.sv@ssau.ru

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Copyright (c) 2015 Safina R.

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