Integral representation of the solution of a mixed problem for one class of evolution equations of parabolic type

Konet Ivan Mykhailovych; Pylypyuk Tatyana Mykhailovna

Konet Ivan Mykhailovych ¹ , Pylypyuk Tatyana Mykhailovna ²

¹ Department of Mathematics, Kamianets-Podilskyi National University named after Ivan Ohienko, Kamianets-Podilskyi, 32302, Ukraine

² Department of Computer Sciences, Kamianets-Podilskyi National University named after Ivan Ohienko, Khmelnytska, Kamianets-Podilskyi, 32300, Ukraine

Keywords: the integral representation, a mixed problem, evolution equations of parabolic type

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Abstract

Using the method of integral Laplace transform in combination with the method of Cauchy functions, we obtain an integral representation of exact analytical solution of a mixed problem for a system of evolutionary equations of parabolic type modeled by hybrid differential Fourier-Legendre-Legendre operator on the piece-homogeneous polar axis $r ≥ R_0 > 0$ with soft boundary.

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Cite

ACS Style: Konet, I.M.; Pylypyuk, T.M. Integral representation of the solution of a mixed problem for one class of evolution equations of parabolic type. Bukovinian Mathematical Journal. 2016, 1
AMA Style: Konet IM, Pylypyuk TM. Integral representation of the solution of a mixed problem for one class of evolution equations of parabolic type. Bukovinian Mathematical Journal. 2016; 1(3-4).
Chicago/Turabian Style: Ivan Mykhailovych Konet, Tatyana Mykhailovna Pylypyuk. 2016. "Integral representation of the solution of a mixed problem for one class of evolution equations of parabolic type". Bukovinian Mathematical Journal. 1 no. 3-4.

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