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Application of generalized separation of variables to solving mixed problems with irregular boundary conditions

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Abstract

One of the methods for solving mixed problems is the classical separation of variables (the Fourier method). If the boundary conditions of the mixed problem are irregular, this method, generally speaking, is not applicable. In the present paper, a generalized separation of variables and a way of application of this method to solving some mixed problems with irregular boundary conditions are proposed. Analytical representation of the solution to this irregular mixed problem is obtained.

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References

  1. G. M. Fikhtengol’ts, A Course in Differential and Integral Calculus (Nauka, Moscow, 1970), Vol. 3 [in Russian].

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  2. E. Gasymov, Finite Integral Transformation Method and Its Applications (Elm, Baku, 2009) [in Russian].

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  3. E. A. Gasymov, “Mixed problems of matching in parabolic systems of different orders with nonlocal boundary conditions,” Differ. Uravn. 26 (8), 1364–1374 (1990).

    MathSciNet  Google Scholar 

  4. E. A. Gasymov, “Application of the finite integral transform method to solving a mixed problem with integrodifferential conditions for a nonclassical equation,” Differ. Equations 47 (3), 319–332 (2011).

    Article  MathSciNet  MATH  Google Scholar 

  5. E. A. Gasymov, “Analysis of matching in hyperbolic systems of different orders in mixed problems,” Vychisl. Mat. Mat. Fiz. 52 (8), 1472–1481 (2012).

    MATH  Google Scholar 

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Authors and Affiliations

  1. Baku State University, ul. Khalilova 23, Baku, AZ 1148, Azerbaijan

    E. A. Gasymov, A. O. Guseinova & U. N. Gasanova

Authors
  1. E. A. Gasymov
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  2. A. O. Guseinova
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  3. U. N. Gasanova
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Correspondence to E. A. Gasymov.

Additional information

Original Russian Text © E.A. Gasymov, A.O. Guseinova, U.N. Gasanova, 2016, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2016, Vol. 56, No. 7, pp. 1335–1339.

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Gasymov, E.A., Guseinova, A.O. & Gasanova, U.N. Application of generalized separation of variables to solving mixed problems with irregular boundary conditions. Comput. Math. and Math. Phys. 56, 1305–1309 (2016). https://doi.org/10.1134/S0965542516070071

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  • DOI: https://doi.org/10.1134/S0965542516070071

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