American Institute of Mathematical Sciences

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

On the inverse Sturm-Liouville problem

 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.
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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