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On a Seminonlocal Boundary Value Problem for a Multidimensional Loaded Mixed Type Equation of the Second Kind

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Abstract

In this paper we consider of a multidimensional loaded mixed type equation of the second order with some seminonlocal conditions on the coefficients. The existence and uniqueness of solution of the seminonlocal boundary value problem of second kind is proved in the Sobolev space \(W\ _{2}^{3}(Q)\). In proof of the theorems are used the methods of ‘‘\(\varepsilon\)-regularizations’’, a priori estimate and successive approximations.

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Authors and Affiliations

  1. Institute of Mathematics, Uzbekistan Academy of Sciences, 100170, Tashkent, Uzbekistan

    S. Z. Dzhamalov, R. R. Ashurov & U. Sh. Ruziev

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  1. S. Z. Dzhamalov
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  2. R. R. Ashurov
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  3. U. Sh. Ruziev
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Correspondence to S. Z. Dzhamalov, R. R. Ashurov or U. Sh. Ruziev.

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(Submitted by T. K. Yuldashev)

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Dzhamalov, S.Z., Ashurov, R.R. & Ruziev, U.S. On a Seminonlocal Boundary Value Problem for a Multidimensional Loaded Mixed Type Equation of the Second Kind. Lobachevskii J Math 42, 536–543 (2021). https://doi.org/10.1134/S1995080221030094

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  • DOI: https://doi.org/10.1134/S1995080221030094

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