TRANSFORMATION OPERATORS FOR THE PERTURBED HILL EQUATION WITH COMPLEX COEFFICIENTS

Khanmamedov, A.Kh.; Mamedova, AFAQ

doi:10.62476/amma9127

TRANSFORMATION OPERATORS FOR THE PERTURBED HILL EQUATION WITH COMPLEX COEFFICIENTS

Khanmamedov A., Mamedova A.

Advanced Mathematical Models and Applications, vol.9, no.1, pp.27-34, 2024 (Scopus)

Nəşrin Növü: Article / Article
Cild: 9 Say: 1
Nəşr tarixi: 2024
Doi nömrəsi: 10.62476/amma9127
jurnalın adı: Advanced Mathematical Models and Applications
Jurnalın baxıldığı indekslər: Scopus
Səhifə sayı: pp.27-34
Açar sözlər: Bessel function, Floquet solutions, Hill equation, perturbed equation, Riemann function, transformation operator
Açıq Arxiv Kolleksiyası: Məqalə, Rəqəmsal Yaddaş Kolleksiyası
Adres: Bəli

Qısa məlumat

In this paper, we consider the perturbed Hill equation on the entire axis. Using a transformation operator that preserves asymptotics at infinity, triangular representations of special solutions of this equation are found. Estimates for the representation kernels are obtained.