This article is cited in 2 papers

On solvability of the Cauchy problem for a loaded system

Yuriy Ya. Belov, Kirill V. Korshun

Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041 Russia

Abstract: In this work we investigated the Cauchy problem for a loaded Burgers-type system. Example of mathematical physics inverse problem leading to problem being investigated is given. Sufficient conditions for existence of solution in continuously differentiable class are obtained.

Keywords: Cauchy problem, inverse problem, Burgers' equation, non-linear system, weak approximation method.

UDC: 517.95

Received: 20.01.2014
Received in revised form: 28.02.2014
Accepted: 16.03.2014

Language: English