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Izv. Vyssh. Uchebn. Zaved. Mat., 2015, Number 7, Pages 63–68 (Mi ivm9020)  

Characteristic boundary-value problem for a system of first-order partial differential equations with a shift of arguments of the sought-for function

E. A. Utkina

Chair of General Mathematics, Kazan (Volga Region) Federal University, 18 Kemlyovskaya str., Kazan, 420008 Russia

Abstract: For a system of first-order partial differential equations in a form not investigated earlier, we consider a variant of the Goursat problem and prove the existence and uniqueness of the problem.

Keywords: system of equations with a shift of arguments of sought-for function, system of functional differential equations, Goursat problem.

Full text: PDF file (165 kB)
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English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2015, 59:7, 56–61

UDC: 517.956
Received: 09.01.2014

Citation: E. A. Utkina, “Characteristic boundary-value problem for a system of first-order partial differential equations with a shift of arguments of the sought-for function”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 7, 63–68; Russian Math. (Iz. VUZ), 59:7 (2015), 56–61

Citation in format AMSBIB
\Bibitem{Utk15}
\by E.~A.~Utkina
\paper Characteristic boundary-value problem for a~system of first-order partial differential equations with a~shift of arguments of the sought-for function
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2015
\issue 7
\pages 63--68
\mathnet{http://mi.mathnet.ru/ivm9020}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2015
\vol 59
\issue 7
\pages 56--61
\crossref{https://doi.org/10.3103/S1066369X15070075}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84930678763}


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  • Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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