On the Uniqueness of Solvability of the Volterra Partial Integral Equation with Weak Singularity

The article discusses the conditions of the solvability of the Volterra partial integral equation in the space of continuous functions. Sufficient conditions of the unique solvability of this type of equations are obtained for a separate class of kernels with weak singularity. The solution of the equation is constructed in explicit form.

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Publication Details

Journal
Lobachevskii Journal of Mathematics
Published
2024-11-01
DOI
https://doi.org/10.1134/s1995080224606349
Primary Topic
advanced mathematical theories
Type
article
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article

On the Uniqueness of Solvability of the Volterra Partial Integral Equation with Weak Singularity

E. V. Frolova
1 links
Lobachevskii Journal of Mathematics
advanced mathematical theories
article

On the Uniqueness of Solvability of the Volterra Partial Integral Equation with Weak Singularity

E. V. Frolova
article en

Abstract

The article discusses the conditions of the solvability of the Volterra partial integral equation in the space of continuous functions. Sufficient conditions of the unique solvability of this type of equations are obtained for a separate class of kernels with weak singularity. The solution of the equation is constructed in explicit form.

Lobachevskii Journal of MathematicsVol. 45(11)
Lipetsk State Pedagogical University (RU)
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Openalex Percentile: Top 58%
advanced mathematical theories
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On the Uniqueness of Solvability of the Volterra Partial Integral Equation with Weak Singularity — E. V. Frolova · Lobachevskii Journal of Mathematics (2024) | TGRS Research Map | TGRS