Open Access
2017 Existence of rotating-periodic solutions for nonlinear systems via upper and lower solutions
Xue Yang, Yu Zhang, Yong Li
Rocky Mountain J. Math. 47(7): 2423-2438 (2017). DOI: 10.1216/RMJ-2017-47-7-2423

Abstract

This paper concerns the existence of affine-periodic solutions for nonlinear systems with certain affine-periodic symmetry. The existence result is actually proved based on the existence of upper and lower solutions and the conditions on them. Some applications are also given.

Citation

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Xue Yang. Yu Zhang. Yong Li. "Existence of rotating-periodic solutions for nonlinear systems via upper and lower solutions." Rocky Mountain J. Math. 47 (7) 2423 - 2438, 2017. https://doi.org/10.1216/RMJ-2017-47-7-2423

Information

Published: 2017
First available in Project Euclid: 24 December 2017

zbMATH: 1385.34032
MathSciNet: MR3748236
Digital Object Identifier: 10.1216/RMJ-2017-47-7-2423

Subjects:
Primary: 34C25 , 34C27

Keywords: Affine (rotating)-periodic solutions , Massera's criterion , topological degree , upper and lower solutions

Rights: Copyright © 2017 Rocky Mountain Mathematics Consortium

Vol.47 • No. 7 • 2017
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