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
A note on the existence of multiple solutions for a class of systems of second order ODEs
BOSCAGGIN, Alberto;DAMBROSIO, Walter
2014-01-01
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
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