The nonlocal resolvability for a one case of the system of first- order partial differential equations with  constant terms

M. Dontsova

doi:10.12737/14446

THE NONLOCAL RESOLVABILITY FOR A ONE CASE OF THE SYSTEM OF FIRST- ORDER PARTIAL DIFFERENTIAL EQUATIONS WITH CONSTANT TERMS The nonlocal resolvability for a one case of the system of first- order partial differential equations with constant terms

АА Аа

Published in Actual directions of scientific researches of the XXI century: theory and practice · Volume 3, Issue 5, p. 1 · Pages 26–28 · Rubric: Sekciya: «Kachestvennaya teoriya dinamicheskih sistem»

DOI: https://doi.org/10.12737/14446

Received: 06.11.2015 Accepted: 06.11.2015 Published: 06.11.2015 Language of publication: RUS

Authors

M. Dontsova

ABSTRACT

In article the conditions of a nonlocal resolvability of the Cauchy problem for a one case of the system of first order partial differential equations with contstant terms are determined.

KEYWORDS

first order partial differential equations, method of an additional argument, Cauchy problem, global estimates.

Text

УДК 517.9

НЕЛОКАЛЬНАЯ РАЗРЕШИМОСТЬ ОДНОГО СЛУЧАЯ

СИСТЕМЫ ДИФФЕРЕНЦИАЛЬНЫХ УРАВНЕНИЙ В ЧАСТНЫХ ПРОИЗВОДНЫХ ПЕРВОГО ПОРЯДКА СО СВОБОДНЫМИ ЧЛЕНАМИ

THE NONLOCAL RESOLVABILITY FOR A ONE CASE OF THE SYSTEM OF FIRST- ORDER PARTIAL DIFFERENTIAL EQUATIONS WITH

CONSTANT TERMS

ДонцоваМ.В., аспирант

ФГБОУ ВПО «Нижегородский государственный педагогический

университет имени К. Минина»,

г. Нижний Новгород, Россия

dontsowa.marina2011@yandex.ru

DOI: 10.12737/14446

Аннотация: В статье определены условия нелокальной разрешимости задачи Коши для одного случая системы дифференциальных уравнений в частных производных первого порядка со свободными членами.

Summary: In article the conditions of a nonlocal resolvability of the Cauchy problem for a one case of the system of first order partial differential equations with contstant terms are determined.

Ключевые слова: уравнения с частными производными первого порядка, задача Коши, метод дополнительного аргумента, глобальные оценки.

Keywords: first order partial differential equations, method of an additional argument, Cauchy problem, global estimates.

1. Alekseenko S.N., Shemyakina T.A., Dontsova M.V. Usloviya nelokal´noy razreshimosti sistem differentsial´nykh uravneniy v chastnykh proizvodnykh pervogo poryadka. Nauchno-tekhnicheskie vedomosti SPbGPU. Fiziko - matematicheskie nauki. - 2013. - №3 (177). - S. 190-201.

2. Dontsova M.V. Issledovanie razreshimosti sistemy differentsial´nykh uravneniy v chastnykh proizvodnykh pervogo poryadka so svobodnymi chlenami// Materialy Mezhdunarodnogo molodezhnogo nauchnogo foruma «LOMONOSOV-2014» / Otv. red. A.I. Andreev, A.V. Andriyanov, E.A. Antipov, M.V. Chistyakova. [Elektronnyy resurs] - M.: MAKS Press, 2014. - 1 elektron. opt. disk (DVD-ROM).

3. Dontsova M.V. Nelokal´naya razreshimost´ odnoy sistemy differentsial´nykh uravneniy v chastnykh proizvodnykh pervogo poryadka so svobodnymi chlenami. Sbornik nauchnykh trudov po materialam mezhdunarodnoy zaochnoy nauchno-prakticheskoy konferentsii «Aktual´nye napravleniya nauchnykh issledovaniy XXI veka: teoriya i praktika». - Voronezh: VGLTA, 2014. - №5. - Ch. 1. - S. 37-38.

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GOST

Dontsova M. The nonlocal resolvability for a one case of the system of first- order partial differential equations with constant terms // Actual directions of scientific researches of the XXI century: theory and practice. 2015. no. 5. pp. 26-28. DOI: https://doi.org/10.12737/14446. (Date of access 21.10.2026).

MLA

M. Dontsova. "The nonlocal resolvability for a one case of the system of first- order partial differential equations with constant terms." Actual directions of scientific researches of the XXI century: theory and practice 3.5 (2015): 26-28. DOI: https://doi.org/10.12737/14446.

APA

Dontsova M. (2015). The nonlocal resolvability for a one case of the system of first- order partial differential equations with constant terms. Actual directions of scientific researches of the XXI century: theory and practice, 3(5), 26-28. https://doi.org/10.12737/14446

Chicago

M. Dontsova. "The nonlocal resolvability for a one case of the system of first- order partial differential equations with constant terms." Actual directions of scientific researches of the XXI century: theory and practice 3, no. 5 (2015): 26-28. https://doi.org/10.12737/14446.

WIKI

{{cite journal | author = Dontsova M. | title = The nonlocal resolvability for a one case of the system of first- order partial differential equations with constant terms | journal = Actual directions of scientific researches of the XXI century: theory and practice | year = 2015 | volume = 3 | issue = 5 | pages = 26-28 | doi = 10.12737/14446 }}

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THE NONLOCAL RESOLVABILITY FOR A ONE CASE OF THE SYSTEM OF FIRST- ORDER PARTIAL DIFFERENTIAL EQUATIONS WITH CONSTANT TERMS The nonlocal resolvability for a one case of the system of first- order partial differential equations with constant terms

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