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.
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