Existence and multiplicity of positive solutions for boundary value problems of 2d order ODE
Keywords
Dirichlet boundary value problem, positive solutions, multiplicity, upper and lower solutions, shooting method, exact count of solutionsAbstract
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.Downloads
Published
1999-09-01
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1.
HABETS, Patrick and GAUDENZI, Marcellino. Existence and multiplicity of positive solutions for boundary value problems of 2d order ODE. Topological Methods in Nonlinear Analysis. Online. 1 September 1999. Vol. 14, no. 1, pp. 131 - 150. [Accessed 25 April 2024].
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