Article

On Analytic Perturbations of Linear Equations in the Case of Incomplete Generalized Jordan Set

D. G. RakhimovGubkin Russian State University of Oil and GazD. AkhmadzhanovaNational University of Uzbekistan

Contemporary Mathematics Fundamental Directionsjournal2022en

ABI

Abstract

Based on the methods of the theory of bifurcations, the problem of perturbation of linear equations by small analytic terms is considered. In contrast to the work of Trenogin [7], the case of an incomplete generalized Jordan set of a linear Fredholm operator acting from one Banach space to another Banach space is studied. A technique is proposed that uses the regularization of the Fredholm operator by a specially constructed finite-dimensional operator.

Topics

Differential Equations and Boundary Problems advanced mathematical theories Material Science and Thermodynamics

Identifiers

DOI: 10.22363/2413-3639-2022-68-1-80-94

Citations and references

Cited by 03 references

Metrics — AkademScholar