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The correctness of boundary problems for a second-order differential equation with a self-adjoint negative operator in a Hilbert space

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Literature Cited

  1. S. G. Krein and G. I. Laptev, "Boundary problems for second-order differential equations in Banach space. I," Differentsial'nye Uravneniya,2, No. 3, 382–390 (1966).

    Google Scholar 

  2. S. G. Krein and G. I. Laptev, "The correctness of boundary problems for second-order differential equations in Banach space. I," Differentsial'nye Uravneniya,2, No. 7, 919–926 (1966).

    Google Scholar 

  3. S. L. Sobolev, "An example of a correct boundary problem for the vibrating string equation with conditions on the whole boundary," Dokl. Akad. Nauk SSSR,109, No. 4, 707–709 (1956).

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  4. N. N. Vakhaniya, "A boundary problem with conditions on the whole boundary for hyperbolic systems equivalent to the vibrating string equation," Dokl. Akad. Nauk SSSR,116, No. 6, 906–909 (1957).

    Google Scholar 

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Computing Center, Siberian Branch of the Academy of Sciences of the USSR. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 2, No. 2, pp. 81–85, April–June, 1968.

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Shishatskii, S.P. The correctness of boundary problems for a second-order differential equation with a self-adjoint negative operator in a Hilbert space. Funct Anal Its Appl 2, 169–173 (1968). https://doi.org/10.1007/BF01075951

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  • DOI: https://doi.org/10.1007/BF01075951

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