A nonzero solution for bounded selfadjoint operator equations and homoclinic orbits of Hamiltonian systems

We obtain an existence theorem of nonzero solution for a class of bounded selfadjoint operator equations. The main result contains as a special case the existence result of a nontrivial homoclinic orbit of a class of Hamiltonian systems by Coti Zelati, Ekeland and Séré. We also investigate the exis...

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Bibliographic Details
Main Authors: Mingliang Song, Runzhen Li
Format: Article
Language:English
Published: University of Szeged 2021-09-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=8862