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Integral Equations of Volterra Typewith Two Boundary and One Interior Singular Point

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Abstract

Explicit solutions of model and nonmodel integral equations of Volterra type with two boundary and one interior singular point are obtained, and the properties of the resulting solutions are studied. The well-posed statement of problems with conditions specified on singular manifolds is found in the case where the solution of the model equation contains an arbitrary constant.

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ACKNOWLEDGMENTS

The authors express their gratitude to Prof. I.V. Astashova for valuable advice.

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Authors and Affiliations

  1. Tajik National University, Dushanbe, 734025, Tajikistan

    N. Rajabov & L. N. Rajabova

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  1. N. Rajabov
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  2. L. N. Rajabova
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Correspondence to N. Rajabov or L. N. Rajabova.

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Translated by V. Potapchouck

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Rajabov, N., Rajabova, L.N. Integral Equations of Volterra Typewith Two Boundary and One Interior Singular Point. Diff Equat 59, 1242–1255 (2023). https://doi.org/10.1134/S0012266123090094

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  • DOI: https://doi.org/10.1134/S0012266123090094

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