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

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2017年 / 40卷 / 07期

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.

引用

页码：2329 / 2335

页数：7

共 38 条

[1] Direct and inverse problems for the Dirac operator with a spectral parameter linearly contained in a boundary condition
Amirov, R. Kh.
Keskin, B.
Ozkan, A. S.
[J]. UKRAINIAN MATHEMATICAL JOURNAL, 2009, 61 (09) : 1365 - 1379
[2] On sampling and Dirac systems with eigenparameter in the boundary conditions
Annaby M.H.
Tharwat M.M.
[J]. Journal of Applied Mathematics and Computing, 2011, 36 (1-2) : 291 - 317
[3] [Anonymous], 1991, MATH ITS APPL SOVIET
[4] [Anonymous], 2011, FAR E J APPL MATH
[5] Binding P, 2003, STUD SCI MATH HUNG, V40, P375
[6] Inverse nodal problems for Sturm-Liouville equations with eigenparameter dependent boundary conditions
Browne, PJ
Sleeman, BD
[J]. INVERSE PROBLEMS, 1996, 12 (04) : 377 - 381
[7] Incomplete Inverse Spectral and Nodal Problems for Differential Pencils
Buterin, S. A.
Shieh, C-T
[J]. RESULTS IN MATHEMATICS, 2012, 62 (1-2) : 167 - 179
[8] Chen H.Y., 2009, GEN TRIGONOMETRIC FU
[9] Gasymov M. G., 1966, Akad. Nauk Azerb. SSR Dokl, V22, P3
[10] INVERSE NODAL PROBLEM FOR p-LAPLACIAN DIFFUSION EQUATION WITH POLYNOMIALLY DEPENDENT SPECTRAL PARAMETER
Gulsen, Tuba
Yilmaz, Emrah
[J]. COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2016, 65 (02): : 23 - 36

← 1 2 3 4 →