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Singular differential equations I: The even order case

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References

  1. Coddington, E. A., andN. Levinson: Theory of ordinary differential equations. New York and London 1955.

  2. Coddington, E. A.: Generalised resolutions of the identity for symmetric ordinary differential operators. Ann. Math.68, 378–392 (1958).

    Google Scholar 

  3. Eggleston, H. G.: Convexity. Cambridge University Press, 1958.

  4. Everitt, W. N.: Self-adjoint boundary value problems on finite intervals. J. London Math. Soc.37, 372–384 (1962).

    Google Scholar 

  5. —— Integrable-square solutions of ordinary differential equations. Quart. J. Math. (Oxford) (2),10, 145–155 (1959).

    Google Scholar 

  6. —— Integrable-square solutions of ordinary differential equations II. Quart. J. Math. (Oxford) (2)13, 217–220 (1962).

    Google Scholar 

  7. —— Inequalities for Gram determinants. Quart. J. Math. (Oxford) (2),8, 191–196 (1957).

    Google Scholar 

  8. —— Some properties of Gram matrices and determinants. Quart J. Math. (Oxford) (2),9, 87–98 (1958).

    Google Scholar 

  9. —— Fourth order singular differential equations. Math. Ann.149, 320–340 (1963).

    Google Scholar 

  10. Glazman, I. M.: On the theory of singular differential operators. Am. Math. Soc. Trans. No. 96 [Uspehi Matematiceskih Nauk (N.S.)5, No. 6 (40), 102–135 (1950)].

  11. Kodaira, K.: On ordinary differential equations of any even order, and the corresponding eigenfunction expansions. Am. J. Math.72, 502–544 (1950).

    Google Scholar 

  12. McCrea, W. H.: Analytical geometry of three dimensions. Edinburgh and London 1947.

  13. Mirsky, L.: An introduction to linear algebra. Oxford 1955.

  14. Titchmarsh, E. C.: Eigenfunction expansions associated with second-order differential equations. Part I, Second edition. Oxford 1962.

  15. Weyl, H.: Über gewöhnliche Differentialgleichungen mit Singularitäten und die zugehörigen Entwicklungen. Math. Ann.68, 220–269 (1910).

    Google Scholar 

  16. Windau, W.: Über lineare Differentialgleichungen vierter Ordnung mit Singularitäten und die dazugehörigen Darstellungen willkürlicher Funktionen. Math. Ann.83, 256–279 (1921).

    Google Scholar 

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Everitt, W.N. Singular differential equations I: The even order case. Math. Ann. 156, 9–24 (1964). https://doi.org/10.1007/BF01359977

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