Inverse Nodal Problems for Dirac-Type Integro-Differential System with Boundary Conditions Polynomially Dependent on the Spectral Parameter
Yıl: 2019 Cilt: 40 Sayı: 4 Sayfa Aralığı: 875 - 885 Metin Dili: İngilizce DOI: 10.17776/csj.620668 İndeks Tarihi: 04-02-2020
Inverse Nodal Problems for Dirac-Type Integro-Differential System with Boundary Conditions Polynomially Dependent on the Spectral Parameter
Öz: In this work, we study the inverse nodal problem for Dirac type integro-differential operator with the boundary conditions dependent spectral parameter polynomially. We prove that dense subset of the nodal points determines the coefficients of differential part of operator and gives partial information for integral part of it.
Anahtar Kelime: Sınır Koşulları Spektral Parametreye Polinom Şeklinde Bağlı Olan Dirac Tipli İntegro-Diferansiyel Sistemi İçin Ters Nodal Problemler
Öz: Bu çalışmada sınır koşulunun spektral parametreye polinom şeklinde bağlı olduğu Dirac tipli integro diferansiyel operatörü ele aldık ve nodal noktaların yoğun bir alt kümesinin operatörün diferansiyel kısmının katsayılarını belirlediğini, integral parçası için de kısmi bilgi verdiğini gösterdik.
Anahtar Kelime: Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
- J.R. McLaughlin, Inverse spectral theory using nodal points as data a uniqueness result, J. Diff. Eq. 73 (1988) 354-362.
- O.H. Hald, J.R. McLaughlin, Solutions of inverse nodal problems, Inv. Prob. 5 (1989) 307-347.
- X-F Yang, A solution of the nodal problem, Inverse Problems, 13 (1997) 203-213.
- P.J. Browne, B.D. Sleeman, Inverse nodal problem for Sturm-Liouville equation with eigenparameter depend boundary conditions, Inverse Problems 12 (1996) 377-381.
- S.A. Buterin, C.T. Shieh, Inverse nodal problem for differential pencils, Appl. Math. Lett. 22, (2009) 1240-1247.
- S.A. Buterin, C.T. Shieh, Incomplete inverse spectral and nodal problems for differential pencil. Results Math. 62 (2012) 167-179.
- Y.H. Cheng, C-K. Law and J. Tsay, Remarks on a new inverse nodal problem, J. Math. Anal. Appl. 248 (2000) 145-155.
- C.K. Law, C.L. Shen and C.F. Yang, The Inverse Nodal Problem on the Smoothness of the Potential Function, Inverse Problems, 15-1 (1999) 253-263 (Erratum, Inverse Problems, 17 (2001) 361-363.
- A.S. Ozkan, B. Keskin, Inverse Nodal Problems for Sturm-Liouville Equation with EigenparameterDependent Boundary and Jump Conditions, Inverse Problems in Science and Engineering, 23-8 (2015) 1306-1312.
- C-T Shieh, V.A. Yurko, Inverse nodal and inverse spectral problems for discontinuous boundary value problems, J. Math. Anal. Appl. 347 (2008) 266-272.
- C-F Yang, Xiao-Ping Yang, Inverse nodal problems for the Sturm-Liouville equation with polynomially dependent on the eigenparameter, Inverse Problems in Science and Engineering, 19-7 (2011) 951-961.
- C-F Yang, Inverse nodal problems of discontinuous Sturm-Liouville operator, J. Differential Equations, 254 (2013) 1992-2014.
- C-F Yang, Z-Y.Huang, Reconstruction of the Dirac operator from nodal data. Integr. Equ. Oper. Theory 66 (2010) 539-551.
- C-F Yang, V.N. Pivovarchik, : Inverse nodal problem for Dirac system with spectral parameter in boundary conditions. Complex Anal. Oper. Theory 7 (2013) 1211-1230.
- Y. Guo, Y. Wei, Inverse Nodal Problem for Dirac Equations with Boundary Conditions Polynomially Dependent on the Spectral Parameter, Results. Math. 67 (2015) 95--110.
- S.A. Buterin, On an Inverse Spectral Problem for a Convolution Integro-Differential Operator, Results in Mathematics, 50 (2007) 173-181.
- S.A. Buterin, The Inverse Problem of Recovering the Volterra Convolution Operator from the Incomplete Spectrum of its Rank-One Perturbation, Inverse Problems, 22 (2006) 2223--2236.
- G. Freiling, V.A. Yurko, Inverse Sturm--Liouville Problems and their Applications, Nova Science, New York, 2001.
- Y.V. Kuryshova, Inverse Spectral Problem for Integro-Differential Operators, Mathematical Notes, 81-6 (2007) 767-777.
- B.Wu, J. Yu, Uniqueness of an Inverse Problem for an Integro-Differential Equation Related to the Basset Problem, Boundary Value Problems, 229 (2014).
- B. Keskin A. S. Ozkan, Inverse nodal problems for Dirac-type integro-differential operators, J. Differential Equations. 263 (2017) 8838--8847
- B. Keskin, H. D. Tel, Reconstruction of the Dirac-Type Integro-Differential Operator From Nodal Data, Numerical Functional Analysis and Optimization, 39-11 (2018) 1208–1220.
| APA | Keskin B, TEL H (2019). Inverse Nodal Problems for Dirac-Type Integro-Differential System with Boundary Conditions Polynomially Dependent on the Spectral Parameter. , 875 - 885. 10.17776/csj.620668 |
| Chicago | Keskin Baki,TEL H. Dilara Inverse Nodal Problems for Dirac-Type Integro-Differential System with Boundary Conditions Polynomially Dependent on the Spectral Parameter. (2019): 875 - 885. 10.17776/csj.620668 |
| MLA | Keskin Baki,TEL H. Dilara Inverse Nodal Problems for Dirac-Type Integro-Differential System with Boundary Conditions Polynomially Dependent on the Spectral Parameter. , 2019, ss.875 - 885. 10.17776/csj.620668 |
| AMA | Keskin B,TEL H Inverse Nodal Problems for Dirac-Type Integro-Differential System with Boundary Conditions Polynomially Dependent on the Spectral Parameter. . 2019; 875 - 885. 10.17776/csj.620668 |
| Vancouver | Keskin B,TEL H Inverse Nodal Problems for Dirac-Type Integro-Differential System with Boundary Conditions Polynomially Dependent on the Spectral Parameter. . 2019; 875 - 885. 10.17776/csj.620668 |
| IEEE | Keskin B,TEL H "Inverse Nodal Problems for Dirac-Type Integro-Differential System with Boundary Conditions Polynomially Dependent on the Spectral Parameter." , ss.875 - 885, 2019. 10.17776/csj.620668 |
| ISNAD | Keskin, Baki - TEL, H. Dilara. "Inverse Nodal Problems for Dirac-Type Integro-Differential System with Boundary Conditions Polynomially Dependent on the Spectral Parameter". (2019), 875-885. https://doi.org/10.17776/csj.620668 |
| APA | Keskin B, TEL H (2019). Inverse Nodal Problems for Dirac-Type Integro-Differential System with Boundary Conditions Polynomially Dependent on the Spectral Parameter. Cumhuriyet Science Journal, 40(4), 875 - 885. 10.17776/csj.620668 |
| Chicago | Keskin Baki,TEL H. Dilara Inverse Nodal Problems for Dirac-Type Integro-Differential System with Boundary Conditions Polynomially Dependent on the Spectral Parameter. Cumhuriyet Science Journal 40, no.4 (2019): 875 - 885. 10.17776/csj.620668 |
| MLA | Keskin Baki,TEL H. Dilara Inverse Nodal Problems for Dirac-Type Integro-Differential System with Boundary Conditions Polynomially Dependent on the Spectral Parameter. Cumhuriyet Science Journal, vol.40, no.4, 2019, ss.875 - 885. 10.17776/csj.620668 |
| AMA | Keskin B,TEL H Inverse Nodal Problems for Dirac-Type Integro-Differential System with Boundary Conditions Polynomially Dependent on the Spectral Parameter. Cumhuriyet Science Journal. 2019; 40(4): 875 - 885. 10.17776/csj.620668 |
| Vancouver | Keskin B,TEL H Inverse Nodal Problems for Dirac-Type Integro-Differential System with Boundary Conditions Polynomially Dependent on the Spectral Parameter. Cumhuriyet Science Journal. 2019; 40(4): 875 - 885. 10.17776/csj.620668 |
| IEEE | Keskin B,TEL H "Inverse Nodal Problems for Dirac-Type Integro-Differential System with Boundary Conditions Polynomially Dependent on the Spectral Parameter." Cumhuriyet Science Journal, 40, ss.875 - 885, 2019. 10.17776/csj.620668 |
| ISNAD | Keskin, Baki - TEL, H. Dilara. "Inverse Nodal Problems for Dirac-Type Integro-Differential System with Boundary Conditions Polynomially Dependent on the Spectral Parameter". Cumhuriyet Science Journal 40/4 (2019), 875-885. https://doi.org/10.17776/csj.620668 |
