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March  2007, 18(2&3): 405-428. doi: 10.3934/dcds.2007.18.405

On the inverse Sturm-Liouville problem

Russell Johnson 1, and  Luca Zampogni 2,

1. 

Dipartimento di Sistemi e Informatica, Università di Firenze, 50139 Firenze
2. 

Dipartimento di Matematica U. Dini, Università di Firenze, Italy

Received  April 2006 Revised  July 2006 Published  March 2007

We pose and solve an inverse problem of an algebro-geometric type for the classical Sturm-Liouville operator. We use techniques of nonautonomous dynamical systems together with methods of classical algebraic geometry.
Keywords: nonautonomous differential equations., algebraic curves, Sturm-Liouville operator.
Mathematics Subject Classification: 34A55, 37B55, 37K1.
Citation: Russell Johnson, Luca Zampogni. On the inverse Sturm-Liouville problem. Discrete and Continuous Dynamical Systems, 2007, 18 (2&3) : 405-428. doi: 10.3934/dcds.2007.18.405
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