Existence of solutions to fractional Hamiltonian systems with combined nonlinearities

This article concerns the existence of solutions for the fractional Hamiltonian system $$\displaylines{ - _tD^{\alpha}_{\infty}\big(_{-\infty}D^{\alpha}_{t}u(t)\big) -L(t)u(t)+\nabla W(t,u(t))=0,\cr u\in H^{\alpha}(\mathbb{R},\mathbb{R}^n), }$$ where $\alpha\in (1/2,1)$, $L\in C(\mathbb{R},\m...

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Bibliographic Details
Main Authors: Ziheng Zhang, Rong Yuan
Format: Article
Language:English
Published: Texas State University 2016-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2016/40/abstr.html