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References
F.V. Atkinson, Discrete and Continuous Boundary Problems, Academic Press, New York, 1964.
R. Courant and D. Hilbert, Methods of Mathematical Physics, Vol. 1. Interscience, New York, 1953.
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.
W.N. Everitt, M.K. Kwong, A. Zettl, Oscillation of eigenfunctions of weighted regular Sturm-Liouville problems, To appear.
K. Jörgens, Spectral Theory of Second-Order Ordinary Differential Equations, Matematisk Institut, Aarhus University, 1964.
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)
A.B. Mingarelli, Indefinite Sturm-Liouville problems submitted.
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.
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.
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Dedicated to the memory of a former teacher, Dr. R. Clive Moore.
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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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