skip to main content

SciTech ConnectSciTech Connect

Title: The method of normal forms for singularly perturbed systems of Fredholm integro-differential equations with rapidly varying kernels

The paper deals with extending the Lomov regularization method to classes of singularly perturbed Fredholm-type integro-differential systems, which have not so far been studied. In these the limiting operator is discretely noninvertible. Such systems are commonly known as problems with unstable spectrum. Separating out the essential singularities in the solutions to these problems presents great difficulties. The principal one is to give an adequate description of the singularities induced by 'instability points' of the spectrum. A methodology for separating singularities by using normal forms is developed. It is applied to the above type of systems and is substantiated in these systems. Bibliography: 10 titles.
Authors:
;  [1]
  1. National Research University "Moscow Power Engineering Institute", Moscow (Russian Federation)
Publication Date:
OSTI Identifier:
22317926
Resource Type:
Journal Article
Resource Relation:
Journal Name: Sbornik. Mathematics; Journal Volume: 204; Journal Issue: 7; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; BIBLIOGRAPHIES; INTEGRO-DIFFERENTIAL EQUATIONS; KERNELS; MATHEMATICAL SOLUTIONS; SINGULARITY; SPECTRA