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Inverse nodal problem for p –laplacian dirac system
Author(s) -
Gulsen Tuba,
Yilmaz Emrah,
Koyunbakan Hikmet
Publication year - 2016
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4141
Subject(s) - mathematics , eigenvalues and eigenvectors , nodal , dirac (video compression format) , laplace operator , inverse , modified nodal analysis , mathematical analysis , spectrum (functional analysis) , boundary value problem , dirac equation , mathematical physics , pure mathematics , geometry , quantum mechanics , physics , medicine , neutrino , anatomy
In this study, we solve an inverse nodal problem for p ‐Laplacian Dirac system with boundary conditions depending on spectral parameter. Asymptotic formulas of eigenvalues, nodal points and nodal lengths are obtained by using modified Prüfer substitution. The key step is to apply modified Prüfer substitution to derive a detailed asymptotic estimate for eigenvalues. Furthermore, we have shown that the functions r(x) and q(x) in Dirac system can be established uniquely by using nodal parameters with the method used by Wang et al. Obtained results are more general than the classical Dirac system. Copyright © 2016 John Wiley & Sons, Ltd.