
doi: 10.1002/mma.4141
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.
inverse nodal problem, Dirac system, Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators, Prüfer substitution, Inverse problems involving ordinary differential equations, Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.), General spectral theory of ordinary differential operators, \(p\)-Laplacian
inverse nodal problem, Dirac system, Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators, Prüfer substitution, Inverse problems involving ordinary differential equations, Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.), General spectral theory of ordinary differential operators, \(p\)-Laplacian
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