Existence and multiplicity of positive solutions for boundary value problems of 2d order ODE
Abstract
We study the existence and multiplicity of positive solutions of the
boundary value problem
$$
u''+sf(t,u)=0,\quad u(0)=u(1)=0,
$$
where $s$ is a positive parameter and $f$ is a non-negative function.
We indicate examples with more than two solutions.
boundary value problem
$$
u''+sf(t,u)=0,\quad u(0)=u(1)=0,
$$
where $s$ is a positive parameter and $f$ is a non-negative function.
We indicate examples with more than two solutions.
Keywords
Dirichlet boundary value problem; positive solutions; multiplicity; upper and lower solutions; shooting method; exact count of solutions
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