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

• Datum: 2023
• Hauptverfasser: Benhassine, A., Benhassine, Abderrazek
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2023
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/328
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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...