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On the self-adjoint extensions of symmetric ordinary differential operators with middle deficiency indices

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References

  1. Cao Zhi-jiang and Liu Jing-ling, On the deficiency index theory for singular symmetric differential operations (in Chinese),Advance in Mathematics (Beijing),12 (1983), 161–178.

    Google Scholar 

  2. Coddington, E.A. and Levinson, N., Theory of Ordinary Differential Equtions,New York and London, 1955.

  3. Nainmark, M.A., Linear Differential Operators,Ungar, New York, Part I, 1967; Part II, 1968.

  4. Titchmarsh, E.C., Eigenfunction Expansions Associated with Second-order Differential Equations, Part I, second edition,Oxford, 1962.

  5. Cao Zhi-jiang, Ordinary Differential Operators (in Chinese),Shanghai Science and Technology Press, (to appear).

  6. Cao Zhi-jiang, The self-adjoint domains of second-order differential operations in the limit-circle case,Acta Math. Sinica, (1985), 175–180.

  7. Everitt, W.N., Integrable-square solutions of ordinary differential equations (III),Quart. J. of Math., (Oxford) (2)14 (1963), 170–180.

    MathSciNet  Google Scholar 

  8. Everitt W.N., and Kumar, V.K., On the Titchmarsh-Weyl theory of ordinary symmetric differential expression I The general theory.Nieuw Archief voor Wiskunde (3)XXXIV (1976), 1–48.

    Google Scholar 

  9. —, On the Titchmarsh-Weyl theory of ordinary symmetric differential expressions II: The odd-order case,Ibid, 109–145.

    Google Scholar 

  10. Cao Zhi-jiang, On self-adjoint extensions in the limit-circle case of differential operators of ordern (in Chinese),Acta Math. Sinica,28 (1985), 205–217.

    MathSciNet  Google Scholar 

  11. W.N. Everitt, Singular differential equations I: the even order case,Math. Ann.,156 (1964), 9–24.

    Article  MathSciNet  Google Scholar 

  12. —, Singular differential equations II: some self-adjoint even order case,Quart. J. of Math., (Oxford), (2)18 (1967), 13–32.

    MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of Inner Mongolia, China

    Sun Jiong

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  1. Sun Jiong
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Projects supported by the science fund of the Chinese Academy of Sciences.

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Jiong, S. On the self-adjoint extensions of symmetric ordinary differential operators with middle deficiency indices. Acta Mathematica Sinica 2, 152–167 (1986). https://doi.org/10.1007/BF02564877

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  • DOI: https://doi.org/10.1007/BF02564877

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