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Asymptotic distribution of the eigenvalues of non-definite Sturm-Liouville problems

Part of the Lecture Notes in Mathematics book series (LNM,volume 1032)

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References

  1. F.V. Atkinson, Discrete and Continuous Boundary Problems, Academic Press, New York, 1964.

    MATH  Google Scholar 

  2. R. Courant and D. Hilbert, Methods of Mathematical Physics, Vol. 1. Interscience, New York, 1953.

    MATH  Google Scholar 

  3. W. N. Everitt, On certain regular ordinary differential expressions and related differential operators, in Spectral Theory of Differential Operators, I.W. Knowles and R.T. Lewis (eds) North-Holland, New York, 1981,115–167.

    Google Scholar 

  4. W.N. Everitt, M.K. Kwong, A. Zettl, Oscillation of eigenfunctions of weighted regular Sturm-Liouville problems, To appear.

    Google Scholar 

  5. K. Jörgens, Spectral Theory of Second-Order Ordinary Differential Equations, Matematisk Institut, Aarhus University, 1964.

    Google Scholar 

  6. M.G. Kren, On the "indeterminate" case of the Sturm-Liouville boundary problem in the interval (0,∞) Izvestiya Akad. Nauk. SSSR, Ser. Mat 16 (1954), 293–324, (Russian), (MR 14,558)

    MathSciNet  Google Scholar 

  7. A.B. Mingarelli, Indefinite Sturm-Liouville problems submitted.

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  8. A. Pleijel, Sur la distribution des valeurs propers de problèmes régis par l'équation Δu + λk(x,y) = 0. Arkiv for Mat. Ast. o Fysik, 29B, (1942), 1–8.

    Google Scholar 

  9. R.G.D. Richardson, Contributions to the study of oscillation properties of the solutions of linear differential equations of the second order, Amer. J. Math. 40, (1918), 283–316.

    CrossRef  MathSciNet  Google Scholar 

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Dedicated to the memory of a former teacher, Dr. R. Clive Moore.

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© 1983 Springer-Verlag

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Mingarelli, A.B. (1983). Asymptotic distribution of the eigenvalues of non-definite Sturm-Liouville problems. In: Everitt, W.N., Lewis, R.T. (eds) Ordinary Differential Equations and Operators. Lecture Notes in Mathematics, vol 1032. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076808

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  • DOI: https://doi.org/10.1007/BFb0076808

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