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Resolvent convergence of Sturm—Liouville operators with singular potentials

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References

  1. A. M. Savchuk and A. A. Shkalikov, Mat. Zametki 66(6), 897 (1999) [Math. Notes 66 (5–6), 741 (1999)].

    MathSciNet  Google Scholar 

  2. T. Kato, Perturbation Theory for Linear Operators (Springer-Verlag, Heidelberg, 1966; Mir, Moscow, 1972).

    MATH  Google Scholar 

  3. V. A. Mikhailets and N. V. Reva, Dopov. Nats. Akad. Nauk Ukr., No. 9, 23 (2008) [Reports Nat. Acad. Sci. Ukr.].

  4. V. A. Mikhailets and N. V. Reva, in Sborn. Trudov Inst. Mat. Nats. Akad. Nauk Ukr. [Proc. Inst. Mat. Nat. Acad. Nauk Ukr.] (Inst. Mat. Akad. Nauk Ukr., Kiev, 2008), Vol. 5, No. 1, pp. 227–239.

    Google Scholar 

  5. A. Yu. Levin, Dokl. Akad. Nauk SSSR 176(4), 774 (1967) [SovietMath. Dokl. 8 1194 (1967)].

    MathSciNet  Google Scholar 

  6. V. Mikhailets and V. Molyboga, Methods Funct. Anal. Topology 14(2), 184 (2008).

    MATH  MathSciNet  Google Scholar 

  7. A. S. Goriunov and V. A. Mikhailets, Dopov. Nats. Akad. Nauk Ukr., No. 4, 19 (2009) [Reports Nat. Acad. Sci. Ukr.].

  8. A. S. Goriunov and V. A. Mikhailets, Dopov. Nats. Akad. Nauk Ukr., No. 9, 27 (2009) [Reports Nat. Acad. Sci. Ukr.].

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Correspondence to A. S. Goriunov.

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Original Russian Text © A. S. Goriunov, V. A. Mikhailets, 2010, published in Matematicheskie Zametki, 2010, Vol. 87, No. 2, pp. 311–315.

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Goriunov, A.S., Mikhailets, V.A. Resolvent convergence of Sturm—Liouville operators with singular potentials. Math Notes 87, 287–292 (2010). https://doi.org/10.1134/S0001434610010372

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