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Boundedness and compactness criteria for a certain difference inclusion

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Literature cited

  1. 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. 1, 52–55 (1983).

    Google Scholar 

  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. Otelbaev, “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).

    Google Scholar 

  5. E. T. Sawyer, “A weighted inequality and eigenvalue estimates for Schrödinger operators,” Indiana Univ. Math. J.,35, No. 1, 1–28 (1986).

    Google Scholar 

  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).

    Google Scholar 

  7. K. T. Mynbaev and M. O. Otelbaev, Weighted Functional Spaces and the Spectra of Differential Operators [in Russian], Nauka, Moscow (1988).

    Google Scholar 

  8. A. M. Molchanov, “On conditions for discreteness of the spectrum of self-adjoint differential equations of the second order,” Tr. Mosk. Mat. Obshch.,2, 169–200 (1953).

    Google Scholar 

  9. Functional Analysis. Mathematics Handbook Library [in Russian], Nauka, Moscow (1972).

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics, Academy of Sciences of the Kazakh SSSR, USSR

    R. Oinarov & A. P. Stikharnyi

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  1. R. Oinarov
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  2. A. P. Stikharnyi
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Translated from Matematicheskie Zametki, Vol. 50, No. 5, pp. 54–60, November, 1991.

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Oinarov, R., Stikharnyi, A.P. Boundedness and compactness criteria for a certain difference inclusion. Mathematical Notes of the Academy of Sciences of the USSR 50, 1130–1135 (1991). https://doi.org/10.1007/BF01157699

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  • DOI: https://doi.org/10.1007/BF01157699

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