The method of lower and upper solutions for fourth order equations with the Navier condition

Abstract The aim of this paper is to explore the method of lower and upper solutions in order to give some existence results for equations of the form y ( 4 ) ( x ) + ( k 1 + k 2 ) y ″ ( x ) + k 1 k 2 y ( x ) = f ( x , y ( x ) ) , x ∈ ( 0 , 1 ) , $$y^{(4)}(x)+(k_{1}+k_{2}) y''(x)+k_{1}k_{2...

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Bibliographic Details

Published in:	Boundary Value Problems
Main Authors:	Ruyun Ma, Jinxiang Wang, Dongliang Yan
Format:	Article
Language:	English
Published:	SpringerOpen 2017-10-01
Subjects:	elastic beam fourth order equations lower and upper solutions Green function
Online Access:	http://link.springer.com/article/10.1186/s13661-017-0887-5