On the Asymptotic Integration of Nonlinear Dynamic Equations

Elvan Akin, Missouri University of Science and Technology
Smail Djebali
Toufik Moussaoui
Martin Bohner, Missouri University of Science and Technology

This document has been relocated to http://scholarsmine.mst.edu/math_stat_facwork/675

There were 4 downloads as of 28 Jun 2016.


The purpose of this paper is to study the existence and asymptotic behavior of solutions to a class of second-order nonlinear dynamic equations on unbounded time scales. Four different results are obtained by using the Banach fixed point theorem, the Boyd and Wong fixed point theorem, the Leray-Schauder nonlinear alternative, and the Schauder fixed point theorem. For each theorem, an illustrative example is presented. The results provide unification and some extensions in the time scale setup of the theory of asymptotic integration of nonlinear equations both in the continuous and discrete cases