Work

Spectral Analysis for the Almost Periodic Sturm – Liouville operator with Impulse

Year: 2025

Type: article

Abstract: This paper focuses on the impulsive Sturm-Liouville operator on the whole axis with complex almost periodic potentials and the discontinuous coefficient on the right-hand side.We study the most important characteristics of the fundamental solutions of the Sturm-Liouville equation.Using the impulsive condition, we determine the transfer matrix.Further, using the impulsive condition and transfer matrix, we construct Green's function and obtain the resolvent of the impulsive Sturm-Liouville operator.Also, we investigate the eigenvalues of the impulsive Sturm-Liouville operator.

Source: Azerbaijan Journal of Mathematics

DOI: 10.59849/2218-6816.2025.2.178

Authors: S. Bahlulzade, R. Efendiev

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4413028845

FWCI: 3.4

Cites:

Cited by: 2

Related to: 10