Literature cited
V. I. Gorbachuk and M. L. Gorbachuk, “On boundary values of solutions of homogeneous differential equations,” Dokl. Akad. Nauk SSSR,228, No. 5, 1021–1024 (1976).
V. I. Gorbachuk and M. L. Gorbachuk, “Some topics of spectral theory of elliptic differential equations in space of vector functions in finite interval,” Ukr. Mat. Zh.,28, No. 1, 12–26 (1976).
V. I. Gorbachuk and M. L. Gorbachuk, “Some topics of spectral theory of elliptic differential equations in space of vector functions,” ibid., No. 3, 313–324.
V. I. Gorbachuk and M. L. Gorbachuk, “Boundary values of solutions of some classes of differential equations,” Mat. Sb.,101, No. 1, 124–150 (1977).
Yu. M. Berezanskii, Eigenfunction Expansion of Self-Adjoint Operators [in Russian], Naukova Dumka, Kiev (1965).
V. I. Gorbachuk, “On spaces of infinitely differentiable vectors of a nonnegative self- adjoint operator,” Ukr. Mat. Zh.,35, No. 5, 617–621 (1983).
A. I. Markushevich, Theory of Analytic Functions [in Russian], Nauka, Moscow(1968).
J.-L. Lions and E. Magenes, Nonhomogeneous Boundary Value Problems and Applications, Springer-Verlag (1972).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 38, No. 1, pp. 101–104, January–February, 1986.
Rights and permissions
About this article
Cite this article
Knyukh, B.I. Representation and boundary values of solutions of homogeneous second-order operator-differential equation. Ukr Math J 38, 91–94 (1986). https://doi.org/10.1007/BF01056767
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01056767