Investigation of the properties of solutions of a nonlocal $m$-point problem in time for one class of singular evolution equations

Gorodetskii Vasyl; Todoriko Tetyana Serhiivna

Gorodetskii Vasyl ¹ , Todoriko Tetyana Serhiivna ²

¹ Department of Algebra and Informatics, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine

² Department of Aplied Mathematics and Information Technologies, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine

Keywords: a nonlocal $m$-point problem in time, singular evolution equations, pseudo-Bessel operator

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Abstract

In the class of generalized functions of the type of distributions the correct solvability of $m$-point for $t$ problem for evolution equations of parabolic type with pseudo-Bessel operator of infinite order was established.

References

[1] Kulyk T.S. Multipoint problem for one class of evolutionary partial differential equations of parabolic type / T.S. Kulyk, V.I. Myronyk // Scientific Bulletin of Yuriy Fedkovych Chernivtsi National University. Series: mathematics: collection of scientific papers - Vol. 1, № 3. - Chernivtsi: Chernivtsi National University, 2011. - P. 49-57.

[2] Horodetskyi V.V. Fourier-Bessel transform of one class of infinitely differentiable functions / V.V. Horodetskyi, O.M. Leniuk // Boundary value problems for differential equations: a collection of scientific papers. - Chernivtsi: Prut, 2007. - Issue 15. - P. 51-66.

[3] Leniuk O.M. Bessel transform of one class of generalized functions of the distribution type / O.M. Leniuk // Scientific Bulletin of Chernivtsi University: collection of scientific papers. Iss. 336-337. Mathematics. - Chernivtsi: Ruta, 2007. - P. 95-102.

[4] Gorodetsky V.V. Two-point problem for one class of evolution equations. І / V.V. Gorodetsky, V.I. Myronyk // Differential Equations. - 2010. - Т. 46, № 3. - P. 349-363.

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ACS Style: Gorodetskii, V.; Todoriko, T.S. Investigation of the properties of solutions of a nonlocal $m$-point problem in time for one class of singular evolution equations. Bukovinian Mathematical Journal. 2018, 1
AMA Style: Gorodetskii V, Todoriko TS. Investigation of the properties of solutions of a nonlocal $m$-point problem in time for one class of singular evolution equations. Bukovinian Mathematical Journal. 2018; 1(4).
Chicago/Turabian Style: Vasyl Gorodetskii, Tetyana Serhiivna Todoriko. 2018. "Investigation of the properties of solutions of a nonlocal $m$-point problem in time for one class of singular evolution equations". Bukovinian Mathematical Journal. 1 no. 4.

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