Boundedness and oscillation for nonlinear dynamic equations on a time scale
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- by Lynn Erbe and Allan Peterson PDF
- Proc. Amer. Math. Soc. 132 (2004), 735-744 Request permission
Abstract:
We obtain some boundedness and oscillation criteria for solutions to the nonlinear dynamic equation \[ (p(t)x^{\Delta }(t))^{\Delta }+q(t)(f\circ x^{\sigma })=0, \] on time scales. In particular, no explicit sign assumptions are made with respect to the coefficient $q(t)$. We illustrate the results by several examples, including a nonlinear Emden–Fowler dynamic equation.References
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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
- 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
- © Copyright 2003 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 735-744
- MSC (2000): Primary 39A10
- DOI: https://doi.org/10.1090/S0002-9939-03-07061-8
- MathSciNet review: 2019950