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2017 Relative index theories and applications
Chungen Liu
Topol. Methods Nonlinear Anal. 49(2): 587-614 (2017). DOI: 10.12775/TMNA.2016.093

Abstract

We develop some relative index theories for abstract operator equations. As applications, we prove a new Galerkin approximation formula and a new saddle point reduction formula for the $P$-index. We apply these new formulas to the minimal periodic problem for $P$-symmetric periodic solutions of nonlinear Hamiltonian systems.

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Chungen Liu. "Relative index theories and applications." Topol. Methods Nonlinear Anal. 49 (2) 587 - 614, 2017. https://doi.org/10.12775/TMNA.2016.093

Information

Published: 2017
First available in Project Euclid: 10 March 2017

zbMATH: 1379.58008
MathSciNet: MR3670477
Digital Object Identifier: 10.12775/TMNA.2016.093

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

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Vol.49 • No. 2 • 2017
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