Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

The Boundary Value Problem in the Unbounded Domain for the Third-Order Equation Having the Degeneration of the First Kind

Author(s):

Yu. P. Apakov

apakov.1956@mail.ru

B. Yu. Irgashev

apakov.1956@mail.ru

Abstract:

In the paper, the first boundary value problem is considered for the equation

in the domain

Uniqueness of the solution is proved with the help of the method of energy integral, the solution is constructed by the Fourier method. It is established the uniform convergence for the constructed solution.

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