The resolvent of impulsive dynamic singular Sturm–Liouville operators

Allahverdiev B. P., Tuna H., Isayev H. A.

Afrika Matematika, vol.35, no.3, 2024 (ESCI) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 35 Say: 3
  • Nəşr tarixi: 2024
  • Doi nömrəsi: 10.1007/s13370-024-01205-5
  • jurnalın adı: Afrika Matematika
  • Jurnalın baxıldığı indekslər: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Açar sözlər: 34A37, 34N05, 47A10, Dynamic equations on time scales, Dynamic equations with impulses, Resolvent operator, Spectral function
  • Adres: Bəli

Qısa məlumat

In this study, the resolvent operator of the impulsive dynamic singular Sturm–Liouville problem is considered. The spectral function was first established. The integral representation of the resolvent operator is obtained using this function.