SCATTERING PROBLEM OF THE PERTURBED AIRY EQUATION ON A HALF-AXIS

Huseynov, Hidayat; Mamedova, Afaq

doi:10.30546/2409-4994.2023.49.2.268

SCATTERING PROBLEM OF THE PERTURBED AIRY EQUATION ON A HALF-AXIS

istinad üçün kopyala

Huseynov H. M., Mamedova A.

PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, vol.49, no.2, pp.268-274, 2023 (ESCI)

Nəşrin Növü: Article / Article
Cild: 49 Say: 2
Nəşr tarixi: 2023
Doi nömrəsi: 10.30546/2409-4994.2023.49.2.268
jurnalın adı: PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS
Jurnalın baxıldığı indekslər: Emerging Sources Citation Index (ESCI), Scopus
Səhifə sayı: pp.268-274
Adres: Bəli

Qısa məlumat

The perturbed Airy equation -y ''- xy + q(x)y = lambda y on the half-axis 0 <= x < +infinity with the y '(0) = hy(0) boundary condition is considered. By means of transformation operators the direct and inverse scattering problems are studied. We obtain the main integral equation of the inverse problem. An effective algorithm for reconstruction of perturbed potential is indicated.