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Home / Conferences / OPERATOR EQUATIONS AND SOME RELATED ISSUES IN APPLIED MATHEMATICS / OPERATOR EQUATIONS AND SOME RELATED ISSUES IN APPLIED MATHEMATICS : Materials of the International Open Conference, Voronezh, April 21-23, 2025
A MULTIPARAMETRIC FAMILY OF SOLUTIONS TO THE VOLTERRA INTEGRAL EQUATION IN BANACH SPACE
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A MULTIPARAMETRIC FAMILY OF SOLUTIONS TO THE VOLTERRA INTEGRAL EQUATION IN BANACH SPACE
Sapronov I. 1
Zenina Veronika 2
Smirnova E. 3
Authors:
1.  Voronezh State University of Forestry and Technologies named after G.F. Morozov
Russian Federation
2.  Voronezh State Forestry Engineering University named after G.F. Morozov
3.  Voronezh State University of Forestry and Technologies named after G.F. Morozov
Russian Federation
Type:
Сonference article
DOI:
https://doi.org/10.58168/OpEq2025_166-178
Pages:
from 166 to 178
Published:
30.12.2025
Subject area:
UDC 517.968
Language:
Russian
Keywords:
eigenvector, inverse operator, functional space, characteristic number, partial solution
Abstract and keywords
Abstract (English):
In a specially introduced Banach space, the Volterra integral equation with a third-order kernel having a finite number of derivatives near zero is studied. Under certain restrictions on the spectrum of the operator bundle corresponding to the integral operator, a multi-parameter family of solutions is constructed.

Keywords:
eigenvector, inverse operator, functional space, characteristic number, partial solution
References

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