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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2020, Number 9, Pages 3–14
DOI: https://doi.org/10.26907/0021-3446-2020-9-3-14 (Mi ivm9607) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Boundary value problem for system of pseudo-hyperbolic equations of the fourth order with nonlocal condition

A. T. Assanovaa, Zh. S. Tokmurzinb

a Institute of Mathematics and Mathematical Modeling, Ministry of Education and Science Republic of Kazakhstan, 125 Pushkin str., Almaty, 050010 Republic of Kazakhstan
b K. Zhubanov Aktobe Regional University, 34 A. Moldagulova Ave., Aktobe, 030000, Republic of Kazakhstan
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DOI: https://doi.org/10.26907/0021-3446-2020-9-3-14
Abstract: We consider a boundary value problem for system of pseudo-hyperbolic equations of the fourth order with nonlocal condition on rectangular domain. By introducing new unknown function considered problem is reduced to equivalent nonlocal problem with integral condition for system of hyperbolic integro-differential equations of the second order. Algorithm for finding of approximate solution to equivalent problem is proposed and its convergence is proved on the basis method of functional parametrization. Sufficient conditions of the existence unique classical solution to boundary value problem for system of pseudo-hyperbolic equations of the fourth order with nonlocal condition are established in the terms of initial data.
Keywords: system of pseudo-hyperbolic equations, nonlocal problem, system of hyperbolic integro-differential equations, integral condition, solvability.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan AP 05131220
Received: 02.10.2019
Revised: 18.11.2019
Accepted: 18.12.2019
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2020, Volume 64, Issue 9, Pages 1–11
DOI: https://doi.org/10.3103/S1066369X20090017
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: A. T. Assanova, Zh. S. Tokmurzin, “Boundary value problem for system of pseudo-hyperbolic equations of the fourth order with nonlocal condition”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 9, 3–14; Russian Math. (Iz. VUZ), 64:9 (2020), 1–11
Citation in format AMSBIB
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\paper Boundary value problem for system of pseudo-hyperbolic equations of the fourth order with nonlocal condition
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2020
\issue 9
\pages 3--14
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\crossref{https://doi.org/10.26907/0021-3446-2020-9-3-14}
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\jour Russian Math. (Iz. VUZ)
\yr 2020
\vol 64
\issue 9
\pages 1--11
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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