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

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Authors	HILSCHER Roman TISDELL Christopher C.
Year of publication	2008
Type	Article in Periodical
Magazine / Source	Electronic Journal of Differential Equations
MU Faculty or unit	Faculty of Science
Citation
Web	http://ejde.math.txstate.edu/Volumes/2008/68/abstr.html
Field	General mathematics
Keywords	Time scale; terminal value problem; nonlinear equation; Banach fixed point theorem; bounded solution; weighted norm
Description	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.
Related projects:	Mathematical structures and their physical applications Asymptotika, oscilace a kvadratické funkcionály v teorii dynamických rovnic Difference equations and dynamic equations on time scales II