Abstract

I. R. Oinarov and A. P. Stikharnyi, "A criterion for the discreteness of the spectrum of the Sturm-Liouville difference operator," in: Ninth Republican Intercollegiate Scientific Conference on Mathematics and Mechanics. Abstracts of Reports. Part I. Mathematics [in Russian], Alma-Ata (1989), p. 33. 2. E. S. Smailov, "Difference imbedding theorems for Sobolev spaces with weights, and their applications," Dokl. Akad. Nauk SSSR, 270, No. i, 52-55 (1983). 3. A. T. Bulabaev and L. M. Mustafina, "Difference imbedding theorems for weighted Sobolev spaces," in: All-Union School for Young Scientists. Functional Methods in Applied Mathematics and Mathematics Physics. Abstracts of Reports. Part II [in Russian], Tashkent (1988), pp. 121-122. 4. R. Oinarov and M. Oteibaev, "A criterion for the discreteness of the spectrum of the general Sturm--Liouville operator, and imbedding theorems connected with it," Differents. Uravn., 24, No. 4, 584-591 (1988). 5. E. T. Sawyer, "A weighted inequality and eigenvalue estimates for Schrodinger operators," Indiana Univ. Math. J., 35, No. i, 1-28 (1986). 6. R. Oinarov, "On the denseness of compactly supported functions in weighted spaces, and on weighted inequalities," Dokl. Akad. Nauk SSSR, 303, No. 3, 559-563 (1988). 7. K. T. Mynbaev and M. O. Otelbaev, Weighted Functional Spaces and the Spectra of Differential Operators [in Russian], Nauka, Moscow (1988). 8. A. Mo Molchanov, "On conditions for discreteness of the spectrum of self-adjoint differential equations of the second order," Tr. Mosk. Mat. Obshch., ~, 169-200 (1953). 9. Functional Analysis. Mathematics Handbook Library [in Russian], Nauka, Moscow (1972).

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