Two different sequences of infinitely many homoclinic solutions for a class of fractional Hamiltonian systems

UDC 517.9 We consider the problem of existence of infinitely many homoclinic solutions for the following fractional Hamiltonian systems:\begin{align}\begin{aligned}& -_{t}D^{\alpha}_{\infty}\left(_{-\infty}D^{\alpha}_{t}x(t)\right)-L(t)x(t)+\nabla W(t,x(t))=0,\\& x\in H^{\alp...

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Bibliographic Details
Date:2023
Main Authors: Benhassine, A., Benhassine, Abderrazek
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2023
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/328
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal