%0 Journal Article
%T Terminal value problems for first and second order nonlinear equations on time scales
%A Roman Hilscher
%A Christopher C. Tisdell
%J Electronic Journal of Differential Equations
%D 2008
%I Texas State University
%X In this paper we examine "terminal" value problems for dynamic equations on time scales - that is, a dynamic equation whose solutions are asymptotic at infinity. We present a number of new theorems that guarantee the existence and uniqueness of solutions, as well as some comparison-type results. The methods we employ feature dynamic inequalities, weighted norms, and fixed-point theory.
%K Time scale
%K terminal value problem
%K nonlinear equation
%K Banach fixed point theorem
%K bounded solution
%K weighted norm
%U http://ejde.math.txstate.edu/Volumes/2008/68/abstr.html