On one functional-differential quasilinear hyperbolic equation

E. A. Utkina

Kazan Federal University, 18 Kemlyovskaya str., Kazan, 420008 Russia

Abstract: For functional-differential quasilinear hyperbolic equation not investigated earlier, we consider problems with conditions on characteristics and obtain conditions of solvability.

Keywords: quasilinear hyperbolic equation, Goursat problem, problem with normal derivatives in boundary conditions, equation with shift of arguments in sought-for function.

UDC: 517.956

Received: 05.05.2016

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2017, 61:9, 43–47

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