References
M. L. Gorbachuk, “On completeness of the system of eigenfunctions and generalized eigenfunctions of a nonselfadjoint boundary value problem for a second-order operator-differential equation,” Funktsional. Anal. i Prilozhen.,7, No. 1, 68–69 (1973).
V. A. Mikhaîlets, “On solvability and completeness of the system of eigenfunctions and generalized eigenfunctions of nonselfadjoint boundary value problems for a Sturm-Liouville equation,” Dokl. Akad. Nauk SSSR,218, No. 2, 284–286 (1974).
K. S. Mamedov, “Completeness of the root vector-functions of a general boundary value problem for an operator-differential equation and applications to irregular boundary value problems with partial derivatives,” Izv. Akad. Nauk Azerbaîdzhan, SSR. Ser. Fiz.-Tekhn. Mat. Nauk, No. 2, 17–21 (1978).
S. G. Kreîn, Linear Differential Equations in Banach Space [in Russian], Nauka, Moscow (1967).
H. Triebel, Interpolation Theory, Function Spaces, and Differential Operators [Russian translation], Mir, Moscow (1980).
N. Dunford and J. T. Schwartz, Linear Operators. Vol. 2: Spectral Theory [Russian translation], Mir, Moscow (1966).
J.-L. Lions and E. Magenes, Problémes aux Limites Non Homogénes et Applications [Russian translation], Mir, Moscow (1971).
K. S. Mamedov, “Asymptotic behavior of the distribution function of eigenvalues of an abstract differential operator,” Mat. Zametki,31, No. 1, 41–51 (1982).
N. N. Voîtovich and B. Z. Katsenelenbaum, A Generalized Method of Free Oscillations in Diffraction Theory [in Russian], Nauka, Moscow (1977).
A. G. Kostyuchenko, “Distribution of eigenvalues of singular differential operators,” Dokl. Akad. Nauk SSSR,168, No. 1, 21–24 (1966).
M. Otelbaev, “On smoothness of solutions to differential equations,” Izv. Akad. Nauk Kazakh. SSR Ser. Fiz.-Tekhn. Mat. Nauk, No. 5, 45–48 (1977).
Additional information
Baku. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 38, No. 2, pp. 243–253, March–April, 1997.
Translated by Yu. A. Dmitrieva
Rights and permissions
About this article
Cite this article
Aliev, I.V. The basis property of the system of eigenfunctions and generalized eigenfunctions of nonlocal boundary value problems. Sib Math J 38, 203–212 (1997). https://doi.org/10.1007/BF02674617
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02674617