Boundedness and oscillation for nonlinear dynamic equations on a time scale

Authors:
Lynn Erbe and Allan Peterson

Journal:
Proc. Amer. Math. Soc. **132** (2004), 735-744

MSC (2000):
Primary 39A10

DOI:
https://doi.org/10.1090/S0002-9939-03-07061-8

Published electronically:
July 14, 2003

MathSciNet review:
2019950

Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: We obtain some boundedness and oscillation criteria for solutions to the nonlinear dynamic equation

on time scales. In particular, no explicit sign assumptions are made with respect to the coefficient . We illustrate the results by several examples, including a nonlinear Emden-Fowler dynamic equation.

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Additional Information

**Lynn Erbe**

Affiliation:
Department of Mathematics and Statistics, University of Nebraska-Lincoln, Lincoln, Nebraska 68588-0323

Email:
lerbe@math.unl.edu

**Allan Peterson**

Affiliation:
Department of Mathematics and Statistics, University of Nebraska-Lincoln, Lincoln, Nebraska 68588-0323

Email:
apeterso@math.unl.edu

DOI:
https://doi.org/10.1090/S0002-9939-03-07061-8

Received by editor(s):
June 27, 2002

Received by editor(s) in revised form:
October 21, 2002

Published electronically:
July 14, 2003

Additional Notes:
This research was supported by NSF Grant 0072505

Communicated by:
Carmen C. Chicone

Article copyright:
© Copyright 2003
American Mathematical Society