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19972005
most citedThe topology of the monodromy map of the second order ODE

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math.CA2005★ 1 cited

The topology of the monodromy map of the second order ODE

Dan Burghelea, Nicolau C. Saldanha, Carlos Tomei

We consider the following question: given , which potentials for the second order Sturm-Liouville problem have as its Floquet multiplier? More precisely, def…

math.FA2005

The topology of critical sets of some ordinary differential operators

Nicolau C. Saldanha, Carlos Tomei

We survey recent work of Burghelea, Malta and both authors on the topology of critical sets of nonlinear ordinary differential operators. For a generic nonlinearity , the critic…