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Publication details
Terminal value problems for first and second order nonlinear equations on time scales
Authors | |
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Year of publication | 2008 |
Type | Article in Periodical |
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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