This article is cited in 9 papers

Differential Equations

Inverse problem for quazilinear partial integro-differential equations of higher order

T. K. Yuldashev, A. I. Seredkina

M. F. Reshetnev Siberian State Aerospace University, Krasnoyarsk, 660014, Russia

Abstract: A method of studying an inverse problem for the some classes of quasilinear partial integro-differential equation of the higher order is proposed. A theorem on the existence and uniqueness of the solution of this problem is proved.

Keywords: inverse problem, quasilinear equation, superposition of differential operator, characteristics method, existence and uniqueness of the solution.

UDC: 517.956.47

MSC: 35K70, 35R30

Original article submitted 06/XI/2012
revision submitted – 14/III/2013

DOI: 10.14498/vsgtu1133

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