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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, Number 1, Pages 97–100 (Mi ivm9201)  
Brief communications

On certain nonlinear systems of partial differential equations of the second order

R. Pirov

S. Ainy Tajik State Pedagogical University, 121 Rudaki Ave., Dushanbe, 734003 Republic of Tajikistan
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Abstract: We consider nonlinear systems of five partial differential equations of the second order with one and two unknown functions. We obtain explicit conditions of compatibility which provide the unique solvability of problems with initial data.
Keywords: compatibility conditions, the variety of solutions, overdetermined systems.
Received: 29.02.2016
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2017, Volume 61, Issue 1, Pages 85–87
DOI: https://doi.org/10.3103/S1066369X1701011X
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: R. Pirov, “On certain nonlinear systems of partial differential equations of the second order”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 1, 97–100; Russian Math. (Iz. VUZ), 61:1 (2017), 85–87
Citation in format AMSBIB
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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