Asymptotics of the eigenvalues of approximating differential equations with d-different coefficients

Authors

  • Marina G. Kot Belarusian State University, Nezavisimosti avenue, 4, 220030, Minsk

Keywords:

generalized function, eigenvalues, Newtonʼs method, asymptotic behavior

Abstract

The overall objective is to describe the behavior of the eigenvalues of approximating operators and figuring out how to limit one turns oneʼs own importance. Earlier we have done the following: built approximation expression L0u = −Du + a(e)δu = f  operators of finite rank; explicit form approximating the resolvent family; resolutions and found the limit cases of resonance highlighted. In this article, we will continue to address this problem and set out a step associated with the description of the spectrum constructed limit operators and study the behavior of the eigenvalues of approximating operators, using Newtonʼs diagram method. As a result of eigenvalues of the operator were found.

Author Biography

  • Marina G. Kot, Belarusian State University, Nezavisimosti avenue, 4, 220030, Minsk

    postgraduate student at the department of functional analysis, faculty of mechanics and mathematics

References

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Published

2017-12-02

Issue

No. 1 (2017): Journal of the Belarusian State University. Mathematics and Informatics

Section

Real, Complex and Functional Analysis

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How to Cite

[1]
Kot, M.G. 2017. Asymptotics of the eigenvalues of approximating differential equations with d-different coefficients. Journal of the Belarusian State University. Mathematics and Informatics. 1 (Dec. 2017), 4–10.