Solvability for fully cantilever beam equations with superlinear nonlinearities

Abstract This paper deals with the existence of solution for the fully fourth-order boundary value problem {u(4)(x)=f(x,u(x),u′(x),u″(1),u‴(x)),x∈[0,1],u(0)=u′(0)=u″(1)=u‴(1)=0, $$ \textstyle\begin{cases} u^{(4)}(x)=f(x, u(x), u'(x), u''(1), u'''(x)),\quad x\in [0, 1],...

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Bibliographic Details
Main Authors: Yongxiang Li, Xuechun Chen
Format: Article
Language:English
Published: SpringerOpen 2019-04-01
Series:Boundary Value Problems
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13661-019-1200-6