Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

Boundedness and oscillation for nonlinear dynamic equations on a time scale

Author(s): Lynn Erbe; Allan Peterson
Journal: Proc. Amer. Math. Soc. 132 (2004), 735-744.
MSC (2000): Primary 39A10
Posted: July 14, 2003
MathSciNet review: 2019950
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Abstract | References | Similar articles | Additional information

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

$\begin{displaymath}(p(t)x^{\Delta }(t))^{\Delta }+q(t)(f\circ x^{\sigma })=0, \end{displaymath}$

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.

References:

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