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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Comparison theorems of Hille–Wintner type for dynamic equations on time scales
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by Lynn Erbe and Allan Peterson PDF
Proc. Amer. Math. Soc. 133 (2005), 3243-3253 Request permission

Abstract:

We obtain an analogue of the Hille–Wintner comparison theorem for the nonoscillation of second-order linear dynamic equations on time scales. Several examples are given including applications to difference equations.
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Additional Information
  • Lynn Erbe
  • Affiliation: Department of Mathematics, University of Nebraska-Lincoln, Lincoln, Nebraska 68588-0130
  • Email: lerbe@math.unl.edu
  • Allan Peterson
  • Affiliation: Department of Mathematics, University of Nebraska-Lincoln, Lincoln, Nebraska 68588-0130
  • Email: apeterso@math.unl.edu
  • Received by editor(s): May 21, 2004
  • Published electronically: June 20, 2005
  • Communicated by: Carmen C. Chicone
  • © Copyright 2005 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 133 (2005), 3243-3253
  • MSC (2000): Primary 39A10
  • DOI: https://doi.org/10.1090/S0002-9939-05-08202-X
  • MathSciNet review: 2161146