On the inverse Sturm-Liouville problem

Russell Johnson; Luca Zampogni

doi:10.3934/dcds.2007.18.405

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2007, Volume 18, Issue 2&3: 405-428. Doi: 10.3934/dcds.2007.18.405

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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

Received: April 2006

Revised: July 2006

Published online: March 2007

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Abstract

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.

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Mathematics Subject Classification: 34A55, 37B55, 37K10.

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