Source: http://ric.zntu.edu.ua/article/view/59024
Timestamp: 2019-04-26 08:06:45+00:00

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constructed using the domain-product technique. The conventional expansion is revised to improve convergence properties of the used sine series. Properties of the infinite set of linear algebraic equations, which arises in the course of solving the problem, are studied. After simple modification, the system of equations is turned into an equivalent system, which is of the same kind as the system examined in the first part of the paper in analyzing the similar E-plane structure. In the space 1 1 1 (3) l1 = l ⊕l ⊕l (l1is the sequence space of absolutely convergent series), this fact allows to interpret the set of transformed equations as a single functional equation with the Fredholm operator and to prove that the derived equation has a unique solution, which can be found by means of the truncation method convergent in the norm of (3) l1 .
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