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

---

Copy For Citation

Huseynov H. M., Mamedova A.

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

• Publication Type: Article / Article
• Volume: 49 Issue: 2
• Publication Date: 2023
• Doi Number: 10.30546/2409-4994.2023.49.2.268
• Journal Name: PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS
• Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
• Page Numbers: pp.268-274
• Azerbaijan State University of Economics (UNEC) Affiliated: Yes

Abstract

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.