On the inverse Sturm-Liouville problem

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February & 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

Abstract
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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 & Continuous Dynamical Systems - A, 2007, 18 (2&3) : 405-428. doi: 10.3934/dcds.2007.18.405

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