Sturm-Liouville eigenvalue problems on time scales

  title={Sturm-Liouville eigenvalue problems on time scales},
  author={Ravi P. Agarwal and Martin Bohner and Patricia J. Y. Wong},
  journal={Applied Mathematics and Computation},
For Sturm-Liouville eigenvalue problems on time scales with separated boundary conditions we give an oscillation theorem and establish Rayleigh's principle. Our results not only unifiy the corresponding theories for differential and difference equations, but are also new in the discrete case. © 1999 Published by Elsevier Science Inc. All rights reserved. AMS classification: 39A10; 39A12; 34B24; 34L15; 93C70 

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Publications referenced by this paper.
Showing 1-10 of 12 references

Discrete Hamiltonian Systems: Difference Equations, Continued Fractions, and Riccati Equations

  • C. D. Ahlbrandt, A. C. Peterson
  • Kluwer Academic Publishers, Dordrecht,
  • 1996
1 Excerpt

Dynamic Systems on Measure Chains

  • V. Lakshmikantham, S. Sivasundaram, B. Kaymakalan
  • Kluwer Academic Publishers, Dordrecht,
  • 1996
2 Excerpts

On disconjugacy for Sturm-Liouville difference equations

  • M. Bohner
  • J. Difference Equations
  • 1996
1 Excerpt

Sturmian theory on measure chains

  • S. Hilger Erbe
  • Differential Equations Dynamical Systems
  • 1996

Quadratic Functionals in Variational Analysis and Control Theory, Akademie Verlag, Berlin

  • W. Kratz
  • 1995
2 Excerpts

Sturmian theory on measure chains, Differential Equations Dynamical Systems

  • L. Erbe, S. Hilger
  • 1993
2 Excerpts

Difference Equations and Inequalities

  • R. P. Agarwal
  • 1992
1 Excerpt

Difference Equations: An Introduction with Applications

  • W. G. Kelley, A. C. Peterson
  • 1991
1 Excerpt

Analysis on measure chains - A unified approach to continuous and discrete calculus

  • S. Hilger
  • Res. Math
  • 1990
1 Excerpt

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