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

M. Dontsova

doi:doi:10.12737/6333

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

Published в Actual directions of scientific researches of the XXI century: theory and practice · Volume 2, Issue 5, p. 1, 2014 · Pages 37–38 · Rubrics: Sekciya: «Kachestvennaya teoriya dinamicheskih sistem»

DOI 10.12737/6333

Received: 11.11.2014 Accepted: 11.11.2014 Published: 11.11.2014 Language of publication: RUS

Authors

M. Dontsova

ABSTRACT

In article the conditions of a nonlocal resolvability of the Cauchy problem for a one 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.

Information Text References

Authors:

Type:

Article

Pages:

from 37 to 38

Status:

Published

Language:

Russian

Keywords:

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

Text

УДК 517.9

НЕЛОКАЛЬНАЯ РАЗРЕШИМОСТЬ ОДНОЙ СИСТЕМЫ ДИФФЕРЕНЦИАЛЬНЫХ УРАВНЕНИЙ В ЧАСТНЫХ ПРОИЗВОДНЫХ ПЕРВОГО ПОРЯДКА СО СВОБОДНЫМИ ЧЛЕНАМИ

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

Донцова М.В., аспирант

ФГБОУ ВПО «Нижегородский государственный педагогический

университет имени К. Минина»,

г. Нижний Новгород, Россия

dontsowa.marina2011@yandex

DOI: 10.12737/6333

Аннотация: В статье определены условия нелокальной разрешимости задачи Коши для одной 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 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.

References

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).

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