IMAS   23417
INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Unidad Ejecutora - UE
congresos y reuniones científicas
Título:
Density of Zeros of Eigenfunctions of Sturm Liouville Problems
Autor/es:
J. P. PINASCO; C. SCAROLA
Lugar:
Buenos Aires
Reunión:
Congreso; Fourth Congress on Industrial, Computational and Applied Mathematics; 2013
Institución organizadora:
ASAMACI, AR-SIAM,Universidad Nacional de San Martín, Universidad Tecnológica Nacional and Universidad Favaloro
Resumen:
In this paper we study the asymptoticdensity of zeros of eigenfunctions of a weighted second order differential equation.Then, we consider the following nodal inverse problem: to determine the positivity andnegative zones of the weight function in the equation from the zeros of theeigenfunctions. We show that we can recover those zones under very mild assumptions.