A boundary value problem for a third-order equation with a nonlocal condition for the time
DOI:
https://doi.org/10.31489/2017m1/8-16Keywords:
nonlocal boundary value problem, a priori estimate of the solution, Fourier method, problem on eigenvalues, eigenvalues and functions of a problem, uniform convergence of a series, continuity of a function and its derivativesAbstract
At the end of the rectangular area in the unique solvability of a nonlocal boundary value problem for a third - order equation with multiple characteristics with the terms of the frequency with respect to time. Uniqueness of the solution of the problem is proved by the method of a priori estimates. The method of separation of variables for the particular case of the problem solution is constructed in the form of a Fourier series in eigenfunctions of the problem. Studied uniform convergence of the solution and its derivatives of order, included in the equation.
