Existence and multiplicity of solutions for fractional Hamiltonian systems

Abstract In this paper, the authors investigate the existence and multiplicity of solutions for the following fractional Hamiltonian system: {D∞αt(−∞Dtαu(t))+V(t)u(t)=λu(t)+b(t)|u(t)|q−2u(t)+μh(t),t∈R,u∈Hα(R,RN), $$\textstyle\begin{cases} { }_{t}D_{\infty }^{\alpha } ( {{ }_{-\infty }D_{t}^{\alpha }...

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Bibliographic Details
Main Authors: Guoqing Chai, Weiming Liu
Format: Article
Language:English
Published: SpringerOpen 2019-04-01
Series:Boundary Value Problems
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13661-019-1191-3