IMAS 23417
INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Unidad Ejecutora - UE
artículos
Título:
A nodal inverse problem for second order Sturm?Liouville operators with indefinite weights
Autor/es:
JUAN PABLO PINASCO; CRISTIAN SCAROLA
Revista:
APPLIED MATHEMATICS AND COMPUTATION
Editorial:
ELSEVIER SCIENCE INC
Referencias:
Lugar: Amsterdam; Año: 2015 p. 819 - 830
ISSN:
0096-3003
Resumen:
In this paper we study an inverse problem for weighted second order Sturm?Liouville equations. We show that the zeros of any subsequence of eigenfunctions, or a dense set of nodes, are enough to determine the weight. We impose weaker hypotheses for positive weights, and we generalize the proof to include indefinite weights. Moreover, the parameters in the boundary conditions can be determined numerically by using a shooting method.
