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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…