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Dirichlet Problem for a Singular Integro-Functional-Differential Equation of the Composite Type

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Abstract

A problem for a composite differential equation with singular integro-functional operators is investigated. The theorems of uniqueness and existence of a twice continuously differentiable solution are proved.

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REFERENCES

  1. Vekua, N.P. Systems of Singular Integral Equations (Mir, Moscow, 1979) [in Russian].

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  3. Dzhuraev, A.Dzh. Systems of Equations of Composite Type (Nauka, Moscow, 1972) [in Russian].

  4. Soldatov, A.P. One-Dimensional Singular Operators and Boundary Value Problems of Function Theory (Vysshaya Shkola, Moscow, 1980) [in Russian].

  5. Strang, G. Linear Algebra and its Applications (Massachusetts Institute of Technology, Academic Press, 1976; Mir, Moscow, 1980).

  6. Polyanin, A.D., Manzhirov, A.V. Integral Equations Reference (FIZMATLIT, Moscow, 2003) [in Russian].

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Authors and Affiliations

  1. Orel State University named after I.S. Turgenev, 95 Komsomolskaya str., 302026, Orel, Russia

    A. N. Zarubin & E. V. Chaplygina

Authors
  1. A. N. Zarubin
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  2. E. V. Chaplygina
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Corresponding authors

Correspondence to A. N. Zarubin or E. V. Chaplygina.

Additional information

Russian Text © The Author(s), 2020, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2020, No. 10, pp. 24–32.

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Zarubin, A.N., Chaplygina, E.V. Dirichlet Problem for a Singular Integro-Functional-Differential Equation of the Composite Type. Russ Math. 64, 20–28 (2020). https://doi.org/10.3103/S1066369X20100035

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  • DOI: https://doi.org/10.3103/S1066369X20100035

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