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

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.

UDC: 517.956

Received: 29.02.2016

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2017, 61:1, 85–87

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