BAKU STATE UNIVERSITY JOURNAL of MATHEMATICS & COMPUTER SCIENCES
ISSN: 3006-6484 (ONLINE);
SPECTRAL ANALYSIS OF THE AIRY OPERATOR WITH A STEP-LIKE POTENTIAL
Received: 10-Sep-2024 Accepted: 15-Oct-2024 Published: 18-Dec-2024 Read PDFDownload PDF
Malaka G. Mahmudova
Abstract
The Airy operator where is Heaviside function, are real numbers, is considered. The scattering problem for the operator is studied. A formula for expansion in terms of eigenfunctions of a continuous spectrum is obtained.
