
Existence of positive solutions for a class of semipositive nonlinear elastic beam equation boundary value problems
 WANG Jingjing, LU Yanqiong

JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE). 2020, 55(6):
8492.
doi:10.6040/j.issn.16719352.0.2019.781

Abstract
(
182 )
PDF (380KB)
(
61
)
Save

References 
Related Articles 
Metrics
By using the fixed point theorem of cone mapping, it obtains the existence and multiplicity of positive solutions for the semipositive nonlinear elastic beam equation boundary value problems{y^{(4)}(x)+(k_{1}+k_{2})y″(x)+k_{1}k_{2}y(x)=λf(x,y(x)), x∈［0,1］,y'(0)=y'(1)=y(0)=y(1)=0with Neumann boundary conditions, where 0<k_{}1<k_{}2≤(π^{}2)/4, λ>0 is a parameter and f∈C(［0,1］×［0,∞),(∞,∞)), with f(x,y)≥X for some positive constant X.