On One Identity for Norming Constants and Its Application to Proof of Formula for Regularized Trace

Aslanova N., Aslanov K.

Mathematical Methods in the Applied Sciences, 2025 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Publication Date: 2025
  • Doi Number: 10.1002/mma.10898
  • Journal Name: Mathematical Methods in the Applied Sciences
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Keywords: damped linear elastic system, differential equation with operator coefficient, eigenvalue problem, eigenvectors, norming constants, regularized traces, λ-dependent boundary condition
  • Open Archive Collection: Article
  • Azerbaijan State University of Economics (UNEC) Affiliated: Yes

Abstract

We establish here an important relation between “characteristic determinant” and norms of eigenvectors of Sturm-Liouville operator with unbounded operator coefficient and spectral parameter dependent boundary conditions. We apply that relation to the calculation of regularized traces.