Multiplicity of positive solutions for second order Sturm-Liouville boundary value problems

In this paper, we develop criteria for the existence of multiple positive solutions for second order Sturm-Liouville boundary value problem,

$u''+k^2u+f(t,u)=0, ~~0\leq t\leq 1,$

$a u(0)-bu'(0)=0 \text{~and~} c u(1)+d u'(1)=0,$

where $k\in\bigg(0, \dfrac{\pi}{2}\bigg)$ is a constant, by an application of Avery–Henderson fixed point theorem.

Additional Information

Author(s)	Prasad, K. R., Sreedhar, N., Wesen, L. T.