RESULTS OF THE MINIMAX PRINCIPLE FOR SELF-ADJOINT OPERATORS IN THE FRIEDRICHS MODEL

Authors

  • Davron Kulturayev Jurayevich senior teacher, Termiz State Pedagogical Institute Uzbekistan, Termiz city, Islam Karimov street, 288b
  • Bakhriddin Oltiyev Jurayevich teacher, Termiz State Pedagogical Institute Uzbekistan, Termiz city, Islam Karimov street, 288b

Keywords:

Friedrichs model, self-adjoint operator, spectrum, critical spectrum, discrete spectrum, non-separated kernel.

Abstract

The discrete spectrum of self-adjoint operators in the Friedrichs model is studied. A sufficient condition for the existence of an infinite number of eigenvalues ​​of the Friedrichs model is given. It is proved that the negative eigenvalues ​​of the discrete Schrödinger operator are infinite.

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Published

2024-04-30

How to Cite

Davron Kulturayev Jurayevich, & Bakhriddin Oltiyev Jurayevich. (2024). RESULTS OF THE MINIMAX PRINCIPLE FOR SELF-ADJOINT OPERATORS IN THE FRIEDRICHS MODEL. INTERNATIONAL JOURNAL OF SOCIAL SCIENCE & INTERDISCIPLINARY RESEARCH ISSN: 2277-3630 Impact Factor: 8.036, 13(04), 45–54. Retrieved from https://gejournal.net/index.php/IJSSIR/article/view/2388

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Vol. 13 No. 04 (2024): INTERNATIONAL JOURNAL OF SOCIAL SCIENCE & INTERDISCIPLINARY RESEARCH

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