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Location of focal points


Author: Gary D. Jones
Journal: Proc. Amer. Math. Soc. 132 (2004), 1445-1447
MSC (2000): Primary 34C10
DOI: https://doi.org/10.1090/S0002-9939-03-07209-5
Published electronically: September 12, 2003
MathSciNet review: 2053351
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Abstract | References | Similar Articles | Additional Information

Abstract: The effect of various factorizations of a disconjugate linear operator on focal points is studied.


References [Enhancements On Off] (What's this?)

  • 1. W. A. Coppel, Disconjugacy, Lecture Notes in Mathematics, vol. 220, Springer-Verlag, Berlin, 1971. MR 57:778
  • 2. U. Elias, Oscillation theory of two-term differential equations, Kluwer Academic Publishing, Dordrecht, 1997. MR 98e:34058
  • 3. G. D. Jones, Comparison theorems for disconjugate linear differential equations, Dynamics of Continuous, Discrete and Impulsive Systems 3 (1997), 469-482. MR 98m:34072
  • 4. W. F. Trench, Canonical forms and principal systems for general disconjugate equations, Trans. Amer. Math. Soc. 189 (1973), 319-327. MR 48:8969

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Additional Information

Gary D. Jones
Affiliation: Department of Mathematics, Murray State University, Murray, Kentucky 42037
Email: gary.jones@murraystate.edu

DOI: https://doi.org/10.1090/S0002-9939-03-07209-5
Keywords: Conjugate point, focal point, disconjugate differential operator
Received by editor(s): October 7, 2002
Received by editor(s) in revised form: January 9, 2003
Published electronically: September 12, 2003
Communicated by: Carmen C. Chicone
Article copyright: © Copyright 2003 American Mathematical Society

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