BibTex RIS Kaynak Göster

Principal functions of non-selfadjoint matrix Sturm .Liouville operators with boundary conditions dependent on the spectral parameter

Yıl 2014, Cilt: 63 Sayı: 1, 25 - 34, 01.02.2014
https://doi.org/10.1501/Commua1_0000000702

Kaynakça

  • M. A. Naimark, Investigation of the spectrum and the expansion in eigenfunctions of a non- selfadjoint operators of second order on a semi-axis, AMS Translations 2(16) 1960, 103-193. [2] V. E. Lyance, A diğerential operator with spectral singularities, I, II, AMS Translations 2 (60)1967, 185-225, 227-283.
  • E. Bairamov, O. Cakar and A. O. Çelebi, Quadratic pencil of Schröndinger operators with spectral singularities: Discrete spectrum and principal functions, J. Math. Anal. Appl. 216 (1997), 303-320.
  • E. Bairamov, O. Cakar and A. M. Krall, Spectrum and spectral singularities of a quadratic pencil of a Schrödinger operator with a general boundary condition, J. Diğerential Equations 151 (1999), no. 2, 252–267.
  • E. Bairamov, O. Cakar and A. M. Krall, An eigenfunction expansion for a quadratic pencil of a Schrödinger operator with spectral singularities, J. Diğerential Equations 151 (1999), 268-289.
  • E. Bairamov and A. O. Celebi, Spectrum and spectral expansion for the non-selfadjoint discrete Dirac operators, Quart. J. Math. Oxford Ser. (2) 50 (1999), no. 200, 371–384.
  • E. Bairamov and A. O. Çelebi, Spectral properties of the Klein-Gordon s-wave equation with complex potential, Indian J. Pure Appl. Math. 28 (1997), 813-824.
  • E. Bairamov and G. B. Tunca, Discrete spectrum and principal functions of non-selfadjoint diğerential operators, Czechoslovak Math. J. 49 (1999), 689-700.
  • A. M. Krall, E. Bairamov and O. Cakar, Spectral analysis of a non-selfadjoint discrete Schrödinger operators with spectral singularities, Math. Nachr. 231 (2001), 89-104.
  • R. Carlson, An inverse problem for the matrix Schrödinger equation, J. Math. Anal. Appl. 267(2002), 564-575.
  • S. Clark and F. Gesztesy, Weyl-Titchmarsh M-function asymptotics, local uniqueness re- sults, trace formulas and Borg-type theorems for Dirac operators ,Trans Amer. Math. Soc. 354(2002), 3475-3534.
  • S. Clark, F. Gesztesy and W. Renger Trace formulas and Borg-type theorems for matrix- valued Jacobi and Dirac …nite diğerence operators, J. Diğerential Equations 219 (2005), 144-182.
  • F. Gesztesy, A. Kiselev and K. A. Makarov, Uniqueness results for matrix-valued Schrödinger, Jacobi and Dirac-type operators, Math. Nachr. 239 (2002), 103-145.
  • N. Yokus, Principal functions of non-selfadjoint Sturm-Liouville problems with eigenvalue- dependent boundary conditions,Abstract and Applied Analysis, (2011) 1-12.
  • M. Olgun, C. Coskun, Non-selfadjoint matrix Sturm-Liouville operators with spectral sin- gularities Applied Mathematics and Computations, 216 (8) (2010)
  • C. Coskun, M. Olgun, Principal functions of non-selfadjoint matrix Sturm-Liouville equations, Journal of Computational and Applied Mathematics, 235(2011).
  • Z. S. Agranovich, V. A. Marchenko, The Inverse Problem of Scattering Theory, Gordon and Breach, 1965.
  • E. Bairamov, and N. Yokus, Spectral Singularities of Sturm-Liouville Problems with Eigenvalue-Dependent Boundary Conditions, Abstract and Applied Analysis, 2009, 1-8.
  • M. Olgun, T. Koprubasi and Y. Aygar, Principal Functions of Non-Selfadjoint Diğerence Operator with Spectral Parameter in Boundary Conditions, Abstract and Applied Analysis, pp.1-11, 2011.
  • Y. Aygar, ;M. Olgun and T. Koprubasi, Principal Functions of Nonselfadjoint Discrete Dirac Equations with Spectral Parameter in Boundary Conditions,Abstract and Applied Analysis, pp.1-15,2012.
  • M. Olgun, Non-Selfadjoint Matrix Sturm-Liouville Operators with Eigenvalue-Dependent Boundary Conditions, Hacettepe J Math & Stat., (Accepted).
  • Current address : Ankara University, Faculty of Sciences
  • Department of Mathematics Ankara, TURKEY
  • E-mail address : ccoskun@ankara.edu.tr, deniz.ktr@hotmail.com, olgun@ankara.edu.tr
  • URL: http://communications.science.ankara.edu.tr/index.php?series=A1
Yıl 2014, Cilt: 63 Sayı: 1, 25 - 34, 01.02.2014
https://doi.org/10.1501/Commua1_0000000702

Kaynakça

  • M. A. Naimark, Investigation of the spectrum and the expansion in eigenfunctions of a non- selfadjoint operators of second order on a semi-axis, AMS Translations 2(16) 1960, 103-193. [2] V. E. Lyance, A diğerential operator with spectral singularities, I, II, AMS Translations 2 (60)1967, 185-225, 227-283.
  • E. Bairamov, O. Cakar and A. O. Çelebi, Quadratic pencil of Schröndinger operators with spectral singularities: Discrete spectrum and principal functions, J. Math. Anal. Appl. 216 (1997), 303-320.
  • E. Bairamov, O. Cakar and A. M. Krall, Spectrum and spectral singularities of a quadratic pencil of a Schrödinger operator with a general boundary condition, J. Diğerential Equations 151 (1999), no. 2, 252–267.
  • E. Bairamov, O. Cakar and A. M. Krall, An eigenfunction expansion for a quadratic pencil of a Schrödinger operator with spectral singularities, J. Diğerential Equations 151 (1999), 268-289.
  • E. Bairamov and A. O. Celebi, Spectrum and spectral expansion for the non-selfadjoint discrete Dirac operators, Quart. J. Math. Oxford Ser. (2) 50 (1999), no. 200, 371–384.
  • E. Bairamov and A. O. Çelebi, Spectral properties of the Klein-Gordon s-wave equation with complex potential, Indian J. Pure Appl. Math. 28 (1997), 813-824.
  • E. Bairamov and G. B. Tunca, Discrete spectrum and principal functions of non-selfadjoint diğerential operators, Czechoslovak Math. J. 49 (1999), 689-700.
  • A. M. Krall, E. Bairamov and O. Cakar, Spectral analysis of a non-selfadjoint discrete Schrödinger operators with spectral singularities, Math. Nachr. 231 (2001), 89-104.
  • R. Carlson, An inverse problem for the matrix Schrödinger equation, J. Math. Anal. Appl. 267(2002), 564-575.
  • S. Clark and F. Gesztesy, Weyl-Titchmarsh M-function asymptotics, local uniqueness re- sults, trace formulas and Borg-type theorems for Dirac operators ,Trans Amer. Math. Soc. 354(2002), 3475-3534.
  • S. Clark, F. Gesztesy and W. Renger Trace formulas and Borg-type theorems for matrix- valued Jacobi and Dirac …nite diğerence operators, J. Diğerential Equations 219 (2005), 144-182.
  • F. Gesztesy, A. Kiselev and K. A. Makarov, Uniqueness results for matrix-valued Schrödinger, Jacobi and Dirac-type operators, Math. Nachr. 239 (2002), 103-145.
  • N. Yokus, Principal functions of non-selfadjoint Sturm-Liouville problems with eigenvalue- dependent boundary conditions,Abstract and Applied Analysis, (2011) 1-12.
  • M. Olgun, C. Coskun, Non-selfadjoint matrix Sturm-Liouville operators with spectral sin- gularities Applied Mathematics and Computations, 216 (8) (2010)
  • C. Coskun, M. Olgun, Principal functions of non-selfadjoint matrix Sturm-Liouville equations, Journal of Computational and Applied Mathematics, 235(2011).
  • Z. S. Agranovich, V. A. Marchenko, The Inverse Problem of Scattering Theory, Gordon and Breach, 1965.
  • E. Bairamov, and N. Yokus, Spectral Singularities of Sturm-Liouville Problems with Eigenvalue-Dependent Boundary Conditions, Abstract and Applied Analysis, 2009, 1-8.
  • M. Olgun, T. Koprubasi and Y. Aygar, Principal Functions of Non-Selfadjoint Diğerence Operator with Spectral Parameter in Boundary Conditions, Abstract and Applied Analysis, pp.1-11, 2011.
  • Y. Aygar, ;M. Olgun and T. Koprubasi, Principal Functions of Nonselfadjoint Discrete Dirac Equations with Spectral Parameter in Boundary Conditions,Abstract and Applied Analysis, pp.1-15,2012.
  • M. Olgun, Non-Selfadjoint Matrix Sturm-Liouville Operators with Eigenvalue-Dependent Boundary Conditions, Hacettepe J Math & Stat., (Accepted).
  • Current address : Ankara University, Faculty of Sciences
  • Department of Mathematics Ankara, TURKEY
  • E-mail address : ccoskun@ankara.edu.tr, deniz.ktr@hotmail.com, olgun@ankara.edu.tr
  • URL: http://communications.science.ankara.edu.tr/index.php?series=A1
Toplam 24 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Research Article
Yazarlar

Cafer Coskun Bu kişi benim

Deniz Katar Bu kişi benim

Murat Olgun Bu kişi benim

Yayımlanma Tarihi 1 Şubat 2014
Yayımlandığı Sayı Yıl 2014 Cilt: 63 Sayı: 1

Kaynak Göster

APA Coskun, C., Katar, D., & Olgun, M. (2014). Principal functions of non-selfadjoint matrix Sturm .Liouville operators with boundary conditions dependent on the spectral parameter. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 63(1), 25-34. https://doi.org/10.1501/Commua1_0000000702
AMA Coskun C, Katar D, Olgun M. Principal functions of non-selfadjoint matrix Sturm .Liouville operators with boundary conditions dependent on the spectral parameter. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. Şubat 2014;63(1):25-34. doi:10.1501/Commua1_0000000702
Chicago Coskun, Cafer, Deniz Katar, ve Murat Olgun. “Principal Functions of Non-Selfadjoint Matrix Sturm .Liouville Operators With Boundary Conditions Dependent on the Spectral Parameter”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 63, sy. 1 (Şubat 2014): 25-34. https://doi.org/10.1501/Commua1_0000000702.
EndNote Coskun C, Katar D, Olgun M (01 Şubat 2014) Principal functions of non-selfadjoint matrix Sturm .Liouville operators with boundary conditions dependent on the spectral parameter. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 63 1 25–34.
IEEE C. Coskun, D. Katar, ve M. Olgun, “Principal functions of non-selfadjoint matrix Sturm .Liouville operators with boundary conditions dependent on the spectral parameter”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., c. 63, sy. 1, ss. 25–34, 2014, doi: 10.1501/Commua1_0000000702.
ISNAD Coskun, Cafer vd. “Principal Functions of Non-Selfadjoint Matrix Sturm .Liouville Operators With Boundary Conditions Dependent on the Spectral Parameter”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 63/1 (Şubat 2014), 25-34. https://doi.org/10.1501/Commua1_0000000702.
JAMA Coskun C, Katar D, Olgun M. Principal functions of non-selfadjoint matrix Sturm .Liouville operators with boundary conditions dependent on the spectral parameter. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2014;63:25–34.
MLA Coskun, Cafer vd. “Principal Functions of Non-Selfadjoint Matrix Sturm .Liouville Operators With Boundary Conditions Dependent on the Spectral Parameter”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, c. 63, sy. 1, 2014, ss. 25-34, doi:10.1501/Commua1_0000000702.
Vancouver Coskun C, Katar D, Olgun M. Principal functions of non-selfadjoint matrix Sturm .Liouville operators with boundary conditions dependent on the spectral parameter. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2014;63(1):25-34.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

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