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On the limit-n classification of ordinary differential operators with positive coefficients

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Ordinary and Partial Differential Equations

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 564))

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Bibliography

  1. W.A. Coppel, Disconjugacy, Lecture Notes in Math., Vol. 220, Springer-Verlag, New York, 1971.

    MATH  Google Scholar 

  2. A. Devinatz, Positive definite fourth order differential operators, J. London Math. Soc. (2) 6 (1973), 412–416.

    Article  MathSciNet  MATH  Google Scholar 

  3. A. Devinatz, On limit-2 fourth order differential operators, J. London Math. Soc. (2) 7 (1973), 135–146.

    Article  MathSciNet  MATH  Google Scholar 

  4. N. Dunford and J. T. Schwartz, Linear Operators II: Spectral Theory. Selfadjoint operators in Hilbert space, Wiley-Interscience, New York, 1963.

    MATH  Google Scholar 

  5. M.S.P. Eastham, The limit-2 case of fourth order differential equations, Quart. J. Math. (Oxford), 22, 131–134.

    Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  7. W.N. Everitt, Some positive definite differential operators, J. London Math. Soc. (1) 43 (1968), 465–473.

    Article  MathSciNet  MATH  Google Scholar 

  8. W.N. Everitt, On the limit-point classification of fourth-order differential equations, J. London Math. Soc. (1) 44 (1969) 273–281.

    Article  MathSciNet  MATH  Google Scholar 

  9. S. Goldberg, Unbounded linear operators: Theory and applications, McGraw-Hill, New York, 1966.

    MATH  Google Scholar 

  10. R.M. Kauffman, Polynomials and the limit point condition, Trans. Am. Math. Soc. 201, (1975), 347–366.

    Article  MathSciNet  MATH  Google Scholar 

  11. R.M. Kauffman, Disconjugacy and the limit point condition for fourth order operators (To appear)

    Google Scholar 

  12. M.A. Naimark, Linear Differential Operators, GITTL, Moscow, 1954, English transl., Part II, Ungar, New York, 1968.

    MATH  Google Scholar 

  13. A. Zettl, General theory of the factorization of ordinary linear differential operators, Trans. Amer. Math. Soc. 197 (1974) 341–353.

    Article  MathSciNet  MATH  Google Scholar 

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Authors
  1. Robert M Kauffman
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William N. Everitt Brian D. Sleeman

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© 1976 Springer-Verlag

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Kauffman, R.M. (1976). On the limit-n classification of ordinary differential operators with positive coefficients. In: Everitt, W.N., Sleeman, B.D. (eds) Ordinary and Partial Differential Equations. Lecture Notes in Mathematics, vol 564. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087342

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  • DOI: https://doi.org/10.1007/BFb0087342

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08058-9

  • Online ISBN: 978-3-540-37517-3

  • eBook Packages: Springer Book Archive

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