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Abstract:

In this paper we study an inverse problem for a quasi-linear ordinary differential equation with a monotonic weight in the half-line. First, we find the asymptotic behavior of the singular eigenvalues, and we obtain a Weyl-type asymptotics imposing an appropriate integrability condition on the weight. Then, we investigate the inverse problem of recovering the coefficients from nodal data. We show that any dense subset of nodes of the eigenfunctions is enough to recover the weight. © 2016 Elsevier Inc.

Registro:

Documento: Artículo
Título:A nodal inverse problem for a quasi-linear ordinary differential equation in the half-line
Autor:Pinasco, J.P.; Scarola, C.
Filiación:Depto. de Matemática, IMAS-CONICET, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pab. I, Int. Guiraldes 2160, Buenos Aires, 1428, Argentina
Facultad de Ciencias Exactas y Naturales, Universidad Nacional de La Pampa, Uruguay 151, Santa Rosa, La Pampa, 6300, Argentina
Palabras clave:Eigenvalues; Inverse problems; Nodal points; P-Laplacian; Singular problem
Año:2016
Volumen:261
Número:2
Página de inicio:1000
Página de fin:1016
DOI: http://dx.doi.org/10.1016/j.jde.2016.03.031
Título revista:Journal of Differential Equations
Título revista abreviado:J. Differ. Equ.
ISSN:00220396
CODEN:JDEQA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00220396_v261_n2_p1000_Pinasco

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Citas:

---------- APA ----------
Pinasco, J.P. & Scarola, C. (2016) . A nodal inverse problem for a quasi-linear ordinary differential equation in the half-line. Journal of Differential Equations, 261(2), 1000-1016.
http://dx.doi.org/10.1016/j.jde.2016.03.031
---------- CHICAGO ----------
Pinasco, J.P., Scarola, C. "A nodal inverse problem for a quasi-linear ordinary differential equation in the half-line" . Journal of Differential Equations 261, no. 2 (2016) : 1000-1016.
http://dx.doi.org/10.1016/j.jde.2016.03.031
---------- MLA ----------
Pinasco, J.P., Scarola, C. "A nodal inverse problem for a quasi-linear ordinary differential equation in the half-line" . Journal of Differential Equations, vol. 261, no. 2, 2016, pp. 1000-1016.
http://dx.doi.org/10.1016/j.jde.2016.03.031
---------- VANCOUVER ----------
Pinasco, J.P., Scarola, C. A nodal inverse problem for a quasi-linear ordinary differential equation in the half-line. J. Differ. Equ. 2016;261(2):1000-1016.
http://dx.doi.org/10.1016/j.jde.2016.03.031