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    Müller-Pfeiffer, E. 1990. Some Remarks on the Sturmian Theory for Ordinary Second Order Differential Equations. Mathematische Nachrichten, Vol. 146, Issue. 7-12, p. 127.
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Sturmian theory for nonself-adjoint differential equations of second order

  • E. Müller-Pfeiffer (a1)
Synopsis

The Sturm–Picone comparison theorem is extended to nonself-adjoint differential equations considered on non-compact intervals.

Copyright
COPYRIGHT: © Royal Society of Edinburgh 1987
References
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1Ahlbrandt, C. D., Hinton, D. B., and Lewis, R. T.. The effect of variable change on oscillation and disconjugacy criteria with applications to spectral theory and asymptotic theory. J. Math. Anal. Appl. 81 (1981), 234–277.
2Boersma, J., Kaper, H. G. and Kwong, M. K.. Interlacing property of eigenvalues of Sturm-Liouville boundary value problems. Argonne National Laboratory, ANL–84–73 (1984), 57–60.
3Hartman, P.. Ordinary Differential Equations (New York–London–Sydney: John Wiley, 1964).
4Kamke, E.. Differentialgleichungen reeller Funktionen (Leipzig: Geest & Portig, K.-G., 1950).
5Reid, W. T.. Sturmian theory for ordinary differential equations, Applied Mathematical Sciences 31 (New York-Heidelberg-Berlin: Springer, 1980).
6Swanson, C. A.. Comparison and oscillation theory of linear differential equations (New York and London: Academic Press, 1968).
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Proceedings of the Royal Society of Edinburgh Section A: Mathematics
  • ISSN: 0308-2105
  • EISSN: 1473-7124
  • URL: /core/journals/proceedings-of-the-royal-society-of-edinburgh-section-a-mathematics
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