Multiplicity of solutions for nonperiodic perturbed fractional Hamiltonian systems

In this article, we prove the existence and multiplicity of nontrivial solutions for the nonperiodic perturbed fractional Hamiltonian systems $$\displaylines{ -_{t}D^{\alpha}_{\infty}(_{-\infty}D^{\alpha}_{t}x(t)) -\lambda L(t)\cdot x(t)+\nabla W(t,x(t))=f(t),\cr x\in H^{\alpha}(\mathbb{R}, \mat...

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Bibliographic Details
Main Author: Abderrazek Benhassine
Format: Article
Language:English
Published: Texas State University 2017-03-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2017/93/abstr.html