On an eigenvalue problem
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2005), pp. 31-39
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In the paper an eigenvalue problem for a system of equations with unsummable coefficients is discussed. To solve the problem special weight functional spaces are introduced. For these spaces embedding theorems are proved. The existence and uniqueness of a boundary value problem is considered. The existence of eigenvalue problem solution is proved.
[1] B. G. Ararktsyan, V. Ts. Gnuni, A. O. Oganesyan, Proektirovanie obolochek vrascheniya minimalnoi massy, Sb. nauchnykh trudov, posvyaschennykh 60-letiyu EGU, 1981
[2] B. G. Ararktsyan, L. A. Atoyan, Prikladnaya matematika, 3, EGU, 1984, 48–55 | MR
[3] A. N. Kolmogorov, S. V. Fomin, Elementy teorii funktsii i funktsionalnogo analiza, Nauka, M., 1976 | MR
[4] L. V. Kantorovich, G. P. Akilov, Funktsionalnyi analiz, Nauka1977, M. | MR
[5] F. Syarle, Metod konechnykh elementov dlya ellipticheskikh zadach, Nauka, M., 1980