A. T. Assanova, A. E. Imanchiev, “On conditions of the solvability of nonlocal multi-point boundary value problems for quasi-linear systems of hyperbolic equations”, Eurasian Math. J., 6:4 (2015), 19

Eurasian Mathematical Journal

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ЖУРНАЛЫ ПЕРСОНАЛИИ ОРГАНИЗАЦИИ КОНФЕРЕНЦИИ СЕМИНАРЫ ВИДЕОТЕКА ПАКЕТ AMSBIB

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Eurasian Mathematical Journal, 2015, том 6, номер 4, страницы 19–28 (Mi emj207)

Эта публикация цитируется в 11 научных статьях (всего в 11 статьях)

On conditions of the solvability of nonlocal multi-point boundary value problems for quasi-linear systems of hyperbolic equations

A. T. Assanova^a, A. E. Imanchiev^b

^a Department of Differential Equations, Institute of Mathematics and Mathematical Modeling MES RK, 125 Pushkin St., 050010 Almaty, Kazakhstan
^b Faculty of Physics and Mathematics, K. Zhubanov Aktobe Regional State University, 34 A. Moldagulova St., Aktobe 030000, Kazakhstan

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Аннотация: A nonlocal multi-point boundary value problem for a system of quasi-linear hyperbolic equations is investigated. Based on the results for linear problems coefficient conditions are established ensuring the existence of classical solutions to nonlocal multi-point boundary value problem for a system of quasi-linear hyperbolic equations, and algorithms of finding these solutions are suggested.

Ключевые слова и фразы: nonlocal problem, multi-point condition, quasi-linear hyperbolic equation, solvability.

Финансовая поддержка	Номер гранта
Министерство образования и науки Республики Казахстан	0822/ΓΦ 4
This work supported by Grant No. 0822/ΓΦ 4 (2015-2017) of the Science Committee of the Ministry of education and Science of the Republic of Kazakhstan.

Поступила в редакцию: 18.06.2015

Реферативные базы данных:

Тип публикации: Статья

MSC: 35L20, 35L55, 34B08, 35L72

Язык публикации: английский

Образец цитирования: A. T. Assanova, A. E. Imanchiev, “On conditions of the solvability of nonlocal multi-point boundary value problems for quasi-linear systems of hyperbolic equations”, Eurasian Math. J., 6:4 (2015), 19–28

Цитирование в формате AMSBIB

\RBibitem{AssIma15}

\by A.~T.~Assanova, A.~E.~Imanchiev

\paper On conditions of the solvability of nonlocal multi-point boundary value problems for quasi-linear systems of hyperbolic equations

\jour Eurasian Math. J.

\yr 2015

\vol 6

\issue 4

\pages 19--28

\mathnet{http://mi.mathnet.ru/emj207}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000380173800002}

Образцы ссылок на эту страницу:

https://www.mathnet.ru/rus/emj207

https://www.mathnet.ru/rus/emj/v6/i4/p19

Эта публикация цитируется в следующих 11 статьяx:

Assanova A.T., Imanchiyev A.E., “The Problem With Non-Separated Multipoint-Integral Conditions For High-Order Differential Equations and a New General Solution”, Quaest. Math., 2021
Assanova A.T., “Unique Solvability of An Initial-Boundary Value Problem For a System of Third-Order Partial Differential Equations”, Differ. Equ., 57:1 (2021), 111–116
A. T. Assanova, Z. S. Tokmurzin, “A nonlocal multipoint problem for a system of fourth-order partial differential equations”, Eurasian Math. J., 11:3 (2020), 8–20
A. T. Assanova, Zh. K. Dzhobulaeva, A. E. Imanchiyev, “A multi-point initial problem for a non-classical system of a partial differential equations”, Lobachevskii J. Math., 41:6, SI (2020), 1031–1042
A. T. Assanova, A. D. Abildayeva, A. P. Sabalakhova, “An initial-boundary value problem for a higher-order partial differential equation”, News Natl. Acad. Sci. Rep. Kazakhstan-Ser. Phys.-Math., 2:330 (2020), 133–141
A. T. Assanova, A. A. Boichuk, Z. S. Tokmurzin, “On the initial-boundary value problem for system of the partial differential equations of fourth order”, News Natl. Acad. Sci. Rep. Kazakhstan-Ser. Phys.-Math., 1:323 (2019), 14–21
A. T. Assanova, Zh. M. Kadirbayeva, “Periodic problem for an impulsive system of the loaded hyperbolic equations”, Electron. J. Differ. Equ., 2018, 72
A. T. Assanova, B. Zh. Alikhanova, K. Zh. Nazarova, “Well-posedness of a nonlocal problem with integral conditions for third order system of the partial differential equations”, News Natl. Acad. Sci. Rep. Kazakhstan-Ser. Phys.-Math., 5:321 (2018), 33–41
A. T. Assanova, A. E. Imanchiev, Zh. M. Kadirbayeva, “On the unique solvability of a multi-point problem for system of the loaded differential equations hyperbolic type”, News Natl. Acad. Sci. Rep. Kazakhstan-Ser. Phys.-Math., 2:312 (2017), 12–17
A. T. Assanova, H. A. Ashirbaev, A. P. Sabalakhova, “On the nonlocal problem for a system of the partial integro-differential equations of hyperbolic type”, News Natl. Acad. Sci. Rep. Kazakhstan-Ser. Phys.-Math., 4:314 (2017), 11–18
A. T. Assanova, E. A. Bakirova, Zh. M. Kadirbayeva, “Method for solving the periodic problem for an impulsive system of hyperbolic integro-differential equations”, International Conference Functional Analysis in Interdisciplinary Applications FAIA 2017, AIP Conf. Proc., 1880, eds. T. Kalmenov, M. Sadybekov, Amer. Inst. Phys., 2017, UNSP 040004

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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