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6th International Conference on Differential Equations and Dynamical Systems
May 22-26, 2008

Baltimore, Maryland, USA

Organizers
Xinzhi Liu, University of Waterloo; Gaston M. N'Guerekata, Morgan State University

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Existence of solutions for first-order multi-point problems with changing-sign nonlinearity
by
Douglas R. Anderson
Concordia College-Moorhead MN

In this study, conditions for the existence of at least one positive solution to a nonlinear first-order multi-point eigenvalue problem on general time scales are discussed. Here the nonlinearity is allowed to take on negative values. The results, which are new for differential/difference equations as well as arbitrary time scales, are based on the Guo-Krasnosel'skii fixed point theorem.

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Date received: January 23, 2008

Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cavk-83.