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Cauchy problem for singular evolution equations in countably normed spaces of infinitely differentiable functions. III
Martynyuk Olga 1
1 Department of Algebra and Informatics, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
Keywords: Cauchy problem, singular evolution equations, the Bessel transform
Abstract
The properties of the Bessel transform of generalized functions of the distributions, folds and convolutions of multipliers are investigated.
References

[1] Martyniuk O.V. Cauchy problem for singular evolution equations in countably normalized spaces of infinitely differentiable functions. I. / O.V. Martyniuk // Mathematical and computer modeling. Series: physical and mathematical sciences: collection of scientific works. - Kamianets-Podilskyi: Kamianets-Podilskyi Ivan Ohienko National University, 2011. - Issue 5. - P. 179-192.

[2] Martyniuk O.V. Cauchy problem for singular evolution equations in countably normalized spaces of infinitely differentiable functions. II. / O.V. Martyniuk // Mathematical and computer modeling. Series: physical and mathematical sciences: collection of scientific works. - Kamianets-Podilskyi: Kamianets-Podilskyi Ivan Ohienko National University, 2011. - Issue 6.

[3] Levitan, B.I. Decomposition of Bessel functions into Fourier series and integrals / B.I. Levitan // Uspekhi mat. nauk. - 1951. - Т.  6, vol. 2. - P.  102 - 143.

[4] Zhitomirskiy, Ya.I. Cauchy problem for systems of linear equations in partial derivatives with a Bessel differential operator / Ya.I. Zhitomirskiy // Matem. sb. - 1955.  - Т.  36, № 2.  - P. 299-310.

[5] Gelfand, I.M. Spaces of basic and generalized functions / I.M. Gelfand, G.E. Shilov. - M.: Fizmatgiz, 1958. - 307 p.

[6] Gorodetsky V.V. Boundary properties of smooth in the layer solutions of parabolic type equations / Vasily V. Gorodetsky. - Chernivtsi: Ruta, 1998. - 225 p.

Cite
ACS Style
Martynyuk, O. Cauchy problem for singular evolution equations in countably normed spaces of infinitely differentiable functions. III. Bukovinian Mathematical Journal. 2018, 2
AMA Style
Martynyuk O. Cauchy problem for singular evolution equations in countably normed spaces of infinitely differentiable functions. III. Bukovinian Mathematical Journal. 2018; 2(1).
Chicago/Turabian Style
Olga Martynyuk. 2018. "Cauchy problem for singular evolution equations in countably normed spaces of infinitely differentiable functions. III". Bukovinian Mathematical Journal. 2 no. 1.
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