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A note on the existence of multiple solutions for a class of systems of second order ODEs
Authors:Alberto Boscaggin  Walter Dambrosio
Institution:Dipartimento di Matematica, Università di Torino, Via Carlo Alberto 10, 10123 Torino, Italy
Abstract:We prove the existence of multiple solutions for some systems of second order ODEs with Dirichlet boundary conditions. Such systems are obtained by coupling scalar ODEs with different growth conditions. The proof relies on a global continuation technique.
Keywords:Systems of ODEs  Multiplicity results  Continuation theorems
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