Inverse nodal problem for p-laplacian dirac system

被引:13
作者
Gulsen, Tuba [1 ]
Yilmaz, Emrah [1 ]
Koyunbakan, Hikmet [1 ]
机构
[1] Firat Univ, Dept Math, TR-23119 Elazig, Turkey
关键词
p-Laplacian; inverse nodal problem; Prufer substitution; Dirac system; SPECTRAL PARAMETER; POTENTIAL FUNCTION; RECONSTRUCTION; EQUATIONS; EIGENPARAMETER; DERIVATIVES; OPERATOR;
D O I
10.1002/mma.4141
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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 Prufer substitution. The key step is to apply modified Prufer 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 (c) 2016 John Wiley & Sons, Ltd.
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页码:2329 / 2335
页数:7
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