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2017 An application of coincidence degree theory to cyclic feedback type systems associated with nonlinear differential operators
Guglielmo Feltrin, Fabio Zanolin
Topol. Methods Nonlinear Anal. 50(2): 683-726 (2017). DOI: 10.12775/TMNA.2017.038

Abstract

Using Mawhin's coincidence degree theory, we obtain some new continuation theorems which are designed to have as a natural application the study of the periodic problem for cyclic feedback type systems. We also discuss some examples of vector ordinary differential equations with a $\phi$-Laplacian operator where our results can be applied. Our main contribution in this direction is to obtain a continuation theorem for the periodic problem associated with $(\phi(u'))' + \lambda k(t,u,u') = 0$, under the only assumption that $\phi$ is a homeomorphism.

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Guglielmo Feltrin. Fabio Zanolin. "An application of coincidence degree theory to cyclic feedback type systems associated with nonlinear differential operators." Topol. Methods Nonlinear Anal. 50 (2) 683 - 726, 2017. https://doi.org/10.12775/TMNA.2017.038

Information

Published: 2017
First available in Project Euclid: 30 December 2017

zbMATH: 06836839
MathSciNet: MR3747034
Digital Object Identifier: 10.12775/TMNA.2017.038

Rights: Copyright © 2017 Juliusz P. Schauder Centre for Nonlinear Studies

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Vol.50 • No. 2 • 2017
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