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Description of Maximally Dissipative Quasi-Differential Operators for First Order

Year 2018, , 1651 - 1658, 01.12.2018
https://doi.org/10.16984/saufenbilder.407581

Abstract

In this
work, the general form of maximally dissipative extensions of the minimal
operator generated by first order linear symmetric quasi-differential
expression in the weighted Hilbert space of vector-functions at right
semi-infinite interval has been found. Later on, geometry of spectrum of these
extensions is investigated.

References

  • Referans1 V. I. Gorbachuk and M. I. Gorbachuk, “Boundary value problems for operator differential equations, ”Kluwer, Dordrecht, 1999.
  • Referans2 J. Von Neumann, “Allgemeine eigenwerttheorie hermitescher funktionaloperatoren,” Math. Ann., vol. 102, pp. 49-131, 1929.
  • Referans3 C. Fischbacher, “On the Theory of Dissipative Extensions,” PhD Thesis, University of Kent School of Mathematics, Statistic and Actuarial Science, Canterbury, 2017.
  • Referans4 B. Sz.-Nagy and C. Foias, “Analyse harmonique des operateurs de L’ espace de Hilbert,” Masson, Paris and Akad Kiodo, Budapest, 1997 (English transl, North-Holland, Amesterdam and Akad Kiado, Budapest: 1970).
  • Referans5 F. S. Rofe-Beketov and A. M. Kholkin, “Spectral analysis of differential operators.,” World Scientific Monograph Series in Mathematics, vol. 7, 2005.
  • Referans6 L. Hörmander, “On the theory of general partial differential operators,” Acta Mathematica, vol. 94, pp. 161-248, 1955.
Year 2018, , 1651 - 1658, 01.12.2018
https://doi.org/10.16984/saufenbilder.407581

Abstract

References

  • Referans1 V. I. Gorbachuk and M. I. Gorbachuk, “Boundary value problems for operator differential equations, ”Kluwer, Dordrecht, 1999.
  • Referans2 J. Von Neumann, “Allgemeine eigenwerttheorie hermitescher funktionaloperatoren,” Math. Ann., vol. 102, pp. 49-131, 1929.
  • Referans3 C. Fischbacher, “On the Theory of Dissipative Extensions,” PhD Thesis, University of Kent School of Mathematics, Statistic and Actuarial Science, Canterbury, 2017.
  • Referans4 B. Sz.-Nagy and C. Foias, “Analyse harmonique des operateurs de L’ espace de Hilbert,” Masson, Paris and Akad Kiodo, Budapest, 1997 (English transl, North-Holland, Amesterdam and Akad Kiado, Budapest: 1970).
  • Referans5 F. S. Rofe-Beketov and A. M. Kholkin, “Spectral analysis of differential operators.,” World Scientific Monograph Series in Mathematics, vol. 7, 2005.
  • Referans6 L. Hörmander, “On the theory of general partial differential operators,” Acta Mathematica, vol. 94, pp. 161-248, 1955.
There are 6 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Articles
Authors

Pembe Ipek Al 0000-0002-6111-1121

Publication Date December 1, 2018
Submission Date March 19, 2018
Acceptance Date April 5, 2018
Published in Issue Year 2018

Cite

APA Ipek Al, P. (2018). Description of Maximally Dissipative Quasi-Differential Operators for First Order. Sakarya University Journal of Science, 22(6), 1651-1658. https://doi.org/10.16984/saufenbilder.407581
AMA Ipek Al P. Description of Maximally Dissipative Quasi-Differential Operators for First Order. SAUJS. December 2018;22(6):1651-1658. doi:10.16984/saufenbilder.407581
Chicago Ipek Al, Pembe. “Description of Maximally Dissipative Quasi-Differential Operators for First Order”. Sakarya University Journal of Science 22, no. 6 (December 2018): 1651-58. https://doi.org/10.16984/saufenbilder.407581.
EndNote Ipek Al P (December 1, 2018) Description of Maximally Dissipative Quasi-Differential Operators for First Order. Sakarya University Journal of Science 22 6 1651–1658.
IEEE P. Ipek Al, “Description of Maximally Dissipative Quasi-Differential Operators for First Order”, SAUJS, vol. 22, no. 6, pp. 1651–1658, 2018, doi: 10.16984/saufenbilder.407581.
ISNAD Ipek Al, Pembe. “Description of Maximally Dissipative Quasi-Differential Operators for First Order”. Sakarya University Journal of Science 22/6 (December 2018), 1651-1658. https://doi.org/10.16984/saufenbilder.407581.
JAMA Ipek Al P. Description of Maximally Dissipative Quasi-Differential Operators for First Order. SAUJS. 2018;22:1651–1658.
MLA Ipek Al, Pembe. “Description of Maximally Dissipative Quasi-Differential Operators for First Order”. Sakarya University Journal of Science, vol. 22, no. 6, 2018, pp. 1651-8, doi:10.16984/saufenbilder.407581.
Vancouver Ipek Al P. Description of Maximally Dissipative Quasi-Differential Operators for First Order. SAUJS. 2018;22(6):1651-8.