Literature cited
A. L. Skubachevskii, “Smoothness of generalized solutions of the first boundary problem for an elliptic differential-difference equation,” Mat. Zametki,34, No. 1, 105–112 (1983).
A. Skubachevskii, “The first boundary value problem for strongly elliptic differential-difference equations,” J. Diff. Eq.,63, No. 3, 332–361 (1986).
A. L. Skubachevskii and E. L. Tsvetkov, “Second boundary problem for elliptic differential-difference equations,” Differents. Uravnen.,25, No. 10, 1766–1776 (1989).
G. G. Onanov and A. L. Skubachevskii, “Differential equations with deflecting arguments in stationary problems of mechanics of a deformable body,” Prikl. Mekh.,15, No. 5, 39–47 (1979).
A. L. Skubachevskii, “Eigenvalues and eigenfunctions of some nonlocal boundary problems,” Differents. Uravnen.,25, No. 1, 127–136 (1989).
V. P. Mikhailov, Partial Differential Equations [in Russian], Nauka, Moscow (1983).
J.-L. Lions and E. Magenes, Inhomogeneous Boundary Problems and Their Application [Russian translation], Mir, Moscow (1971).
T. Kato, Theory of Perturbations of Linear Operators [Russian translation], Mir, Moscow (1972).
N. Durford and J. Schwartz, Linear Operators [Russian translation], Vol. 2, Mir, Moscow (1966).
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Translated from Matematicheskie Zametki, Vol. 51, No. 6, pp. 107–114, June, 1992.
The author thanks A. L. Skubachevskii for interest in the work and valuable advice.
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Tsvetkov, E.L. Solvability and spectrum of the third boundary problem for an elliptic differential-difference equation. Math Notes 51, 599–603 (1992). https://doi.org/10.1007/BF01263306
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DOI: https://doi.org/10.1007/BF01263306