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) identifier

  • Nəşrin Növü: Article / Article
  • Nəşr tarixi: 2025
  • Doi nömrəsi: 10.1002/mma.10898
  • jurnalın adı: Mathematical Methods in the Applied Sciences
  • Jurnalın baxıldığı indekslər: 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
  • Açar sözlər: damped linear elastic system, differential equation with operator coefficient, eigenvalue problem, eigenvectors, norming constants, regularized traces, λ-dependent boundary condition
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Bəli

Qısa məlumat

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.