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Comparison theorems of Hille-Wintner type for dynamic equations on time scales
Author(s):
Lynn
Erbe;
Allan
Peterson
Journal:
Proc. Amer. Math. Soc.
133
(2005),
3243-3253.
MSC (2000):
Primary 39A10
Posted:
June 20, 2005
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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.
References:
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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
DOI:
10.1090/S0002-9939-05-08202-X
PII:
S 0002-9939(05)08202-X
Keywords:
Comparison theorems,
linear oscillation,
Hille--Wintner,
time scale
Received by editor(s):
May 21, 2004
Posted:
June 20, 2005
Communicated by:
Carmen C. Chicone
Copyright of article:
Copyright
2005,
American Mathematical Society
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