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Multiplicity of solutions of Dirichlet problems associated with second-order equations in โ<sup>2</sup>
Abstract We study the existence of multiple solutions for a two-point boundary-value problem associated with a planar system of second-order ordinary differential equations by using a shooting technique. We consider asymptotically linear nonlinearities satisfying suitable sign conditions. Multiplicity is ensured by assumptions involving the Morse indices of the linearizations at โฆ