R.Hilscher, C.C.Tisdell

Terminal value problems for first and second order nonlinear equations on time scales

Abstract

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.


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Last change: March 27, 2008. (c) Roman Hilscher