Publication details
Terminal value problems for first and second order nonlinear equations on time scales
| Authors | |
|---|---|
| Year of publication | 2008 |
| Type | Peer-reviewed scientific article |
| Magazine / Source | Electronic Journal of Differential Equations |
| MU Faculty or unit | |
| 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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