The localization property of solutions of a non-local in time multipoint problem for partial differential equations of infinite order
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 non-local in time multipoint problem
Abstract
We prove that a solution of a nonlocal multipoint with respect to time problem for the evolution equation with differentiation operator of infinite order has the property of local strengthening of the convergence.
References
[1] Gorodetsky V.V., Martyniuk O.V. Nonlocal problems for evolutionary equations of the first order in time variable: Monograph. - Chernivtsi: "RODOVID" Publishing House, 2013. 352 p.
[2] Gorodetsky, V.V.; Martynyuk, O.V. Generalized differentiation operators of Gelfond-Leontiev in spaces of type $S$ // Sib. mat.zhurn. - 2013. - V. 54, № 3. - P. 569-584.
[3] Gelfand I.M., Shilov G.E. Spaces of basic and generalized functions. - Moscow: Fizmatgiz, 1958. - 307 p.
[4] Gorbachuk V.I., Gorbachuk M.L. Boundary values of solutions of differential-operator equations. - K.: Nauk. dumka, 1984. - 283 p.
Cite
- ACS Style
- Gorodetskii, V.; Todoriko, T.S. The localization property of solutions of a non-local in time multipoint problem for partial differential equations of infinite order. Bukovinian Mathematical Journal. 2016, 1
- AMA Style
- Gorodetskii V, Todoriko TS. The localization property of solutions of a non-local in time multipoint problem for partial differential equations of infinite order. Bukovinian Mathematical Journal. 2016; 1(3-4).
- Chicago/Turabian Style
- Vasyl Gorodetskii, Tetyana Serhiivna Todoriko. 2016. "The localization property of solutions of a non-local in time multipoint problem for partial differential equations of infinite order". Bukovinian Mathematical Journal. 1 no. 3-4.
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