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On the limit point and strong limit point classification of 2nth order differential expressions with wildly oscillating coefficients

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Ordinary and Partial Differential Equations

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 415))

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References

  1. Atkinson, F.V., Evans, W.D.: On solutions of a differential equation which are not of integrable square. Math Z. 127, 323–332 (1972).

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  2. Brown, B.M., Evans, W.D.: On the limit-point and strong limit-point classification of 2nth order differential expressions with wildly oscillating coefficients. Math Z. 134, 351–368 (1973).

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  3. Evans, W.D.: On non-integrable square solutions of a fourth order differential equation and the limit-2 classification. J. London Math. Soc. (2) 7, 343–354 (1973).

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

    Article  MathSciNet  MATH  Google Scholar 

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

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  6. Everitt, W.N.: Giertz, M., Weidmann, J.: Some remarks on a separation and limit-point criterion of second-order, Ordinary Differential Expressions. Math. Ann. 200, 335–346 (1973).

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  7. Hartman, P.: The number of L2 solutions of x″+q(t) x=0. Amer. J. Math 73, 635–645 (1951).

    Article  MathSciNet  MATH  Google Scholar 

  8. Hinton, D.: Limit point criteria for differential equations. Can. J. Math. 24, 293–305 (1972).

    Article  MathSciNet  MATH  Google Scholar 

  9. Levinson, N.: Criteria for the limit point case for second order linear differential operators. Casopis pro pestovani matematiky a fysiky 74, 17–20 (1949).

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  10. Naimaik, M.A.: Linear Differential Operators, Volume II. Harrap (London) 1968.

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Authors

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B. D. Sleeman I. M. Michael

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© 1974 Springer-Verlag

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Brown, B.M., Evans, W.D. (1974). On the limit point and strong limit point classification of 2nth order differential expressions with wildly oscillating coefficients. In: Sleeman, B.D., Michael, I.M. (eds) Ordinary and Partial Differential Equations. Lecture Notes in Mathematics, vol 415. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0065541

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  • DOI: https://doi.org/10.1007/BFb0065541

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06959-1

  • Online ISBN: 978-3-540-37264-6

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