Investigation of the Cauchy problem for quasilinear $B$-parabolic equations with deviation of the argument
1 Department of Mathematical Problems of Management and Cybernetics, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
Keywords:
Cauchy problem, quasilinear $B$-parabolic equations with deviation of the argument
Abstract
The theorem about correct solvability Cauchy problem for $B$-parabolic equations with deviation time variable was proved.
References
[1] Matiychuk M.I. Parabolic singular boundary value problems. - Kyiv: Institute of Mathematics of the National Academy of Sciences of Ukraine, 1999. - 176 p.
[2] Gorodetsky V.V. Boundary properties of smooth in the layer solutions of equations of parabolic type / V.V. Gorodetsky. - Chernivtsi: Ruta, 1998. - 225 p.
[3] Gorodetsky V.V. Cauchy problem for evolutionary equations of infinite order / V.V. Gorodetsky. - Chernivtsi: Ruta, 2005. - 291 p.
[4] Elsholtz, L.E. Introduction to the theory of differential equations with a deviating argument / L.E. Elsholtz, S.B. Norkin. - M.: Nauka, 1964. - 296 p.
Cite
- ACS Style
- Drin , Y.M.; Drin, M.M. Investigation of the Cauchy problem for quasilinear $B$-parabolic equations with deviation of the argument. Bukovinian Mathematical Journal. 2018, 2
- AMA Style
- Drin YM, Drin MM. Investigation of the Cauchy problem for quasilinear $B$-parabolic equations with deviation of the argument. Bukovinian Mathematical Journal. 2018; 2(1).
- Chicago/Turabian Style
- Yaroslav Mykhailovych Drin , M. M. Drin. 2018. "Investigation of the Cauchy problem for quasilinear $B$-parabolic equations with deviation of the argument". Bukovinian Mathematical Journal. 2 no. 1.
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