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Nonquasiregularity of certain quasidifferential operators

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Literature cited

  1. N. I. Akhiezer and I. M. Glazman, Theory of Linear Operators in Hilbert Space, Vol. 2, Ungar.

  2. M. A. Naimark, Linear Differential Operators [in Russian], Nauka, Moscow (1969).

    Google Scholar 

  3. W. N. Everitt and A. Zettl, “Generalized symmetric ordinary differential expressions. I. The general theory,” Nieuw. Arch. Wisk. (3),27, No. 3, 363–397 (1979).

    Google Scholar 

  4. K. A. Mirzoev, “On a quasiregularity criterion for an operator generated by a quasi-differential expression,” Usp. Mat. Nauk,40, No. 1, 207–208 (1985).

    Google Scholar 

  5. M. S. P. Eastham, “The limit-2n case of symmetric differential operators of order 2n,” Proc. London Math. Soc., Ser. 3,38, No. 2, 272–294 (1979).

    Google Scholar 

  6. H. Weyl, “Uber gewohnliche Differentialgleichungen mit Singularitäten und die zugehörigen Entwicklungen willkurlicher Funktionen,” Math. Ann.,68, 220–269 (1910).

    Google Scholar 

  7. P. Hartman, “The number of L2-solutions of x″+q(t)x=0,” Am. J. Math.,73, 635–645 (1951).

    Google Scholar 

  8. R. S. Ismagilov, “On conditions for self-adjointness of high-order differential equations,” Dokl. Akad. Nauk SSSR,142, No. 6, 1239–1242 (1962).

    Google Scholar 

  9. R. S. Ismagilov, “On the self-adjointness of a Sturm-Liouville operator,” Usp. Mat. Nauk,18, No. 5 (113), 161–166 (1963).

    Google Scholar 

  10. Yu. B. Orochko, “On sufficient conditions for the self-adjointness of a Sturm-Liouville operator,” Mat. Zametki,15, No. 2, 271–280 (1974).

    Google Scholar 

  11. T. T. Read, “A limit-point criterion for expressions with intermittently positive coefficients,” J. London Math. Soc. (2),15, 271–276 (1977).

    Google Scholar 

  12. F. V. Atkinson, M. S. P. Eastham, and J. B. McLeod, “The limit-point, limit-circle nature of rapidly oscillating potentials,” Proc. R. Soc. Edinburgh, Sec. A,76, 183–196 (1977).

    Google Scholar 

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Authors and Affiliations

  1. Moscow Institute of Civil Aviation Engineering, USSR

    K. A. Mirzoev

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  1. K. A. Mirzoev
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Translated from Matematicheskie Zametki, Vol. 41, No. 5, pp. 673–681, May, 1987.

The author is sincerely grateful to B. M. Levitan for his interest in the paper and for useful advice.

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Mirzoev, K.A. Nonquasiregularity of certain quasidifferential operators. Mathematical Notes of the Academy of Sciences of the USSR 41, 377–382 (1987). https://doi.org/10.1007/BF01159861

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