Summability of series in the root functions of boundary-value problems of Bitsadze-Samarskii type
We investigate the Abel summability of a system of eigenfunctions and associated functions of Bitsadze-Samarskii-type boundary-value problems for elliptic equations in a rectangle. These problems are reduced to a boundary-value problem for elliptic operator differential equations with an operator in boundary conditions in the corresponding spaces and are studied by the method of operator differential equations.
English version (Springer): Ukrainian Mathematical Journal 60 (2008), no. 4, pp 509-520.
Citation Example: Aliev I. V. Summability of series in the root functions of boundary-value problems of Bitsadze-Samarskii type // Ukr. Mat. Zh. - 2008. - 60, № 4. - pp. 443–452.