Existence of solutions for the fractional Kirchhoff equations with sign-changing potential

Abstract In this paper, the authors investigate the following fractional Kirchhoff boundary value problem: {(a+b∫0T(0Dtαu)2dt)tDTα(0Dtαu)+λV(t)u=f(t,u),t∈[0,T],u(0)=u(1)=0, $$ \textstyle\begin{cases} ( {a+b\int_{0}^{T} {({ }_{0}D_{t}^{\alpha }u)^{2}\,dt} } ){ }_{t}D_{T}^{\alpha }({}_{0}D_{t}^{\alpha...

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Bibliographic Details
Main Authors: Guoqing Chai, Weiming Liu
Format: Article
Language:English
Published: SpringerOpen 2018-08-01
Series:Boundary Value Problems
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13661-018-1046-3