On an Inverse Problem for a System of Quazilinear Equations in Partial Derivatives of the First Order
Authors
Tursun Kamaldinovich Yuldashev
Siberian state aerospace university, Krasnoyarsk
Keywords:
inverse problem, system of quasilinear equations, additional parameter, nonlinear integral transformation, method of contracting mapping
Abstract
A method of studying solubility of an inverse problem for the system of quasilinear differential equations in partial derivatives of the first order is offered. With the help of a nonlinear method of characteristics based on introduction of an additional parameter, a Cauchy problem is reduced to study the system of non-linear integral equations. For solution the inverse problem the restored functions are found from the system of Volterra non-linear integral equations of the first kind with the help of non-linear integral transformation.
Author Biography
Tursun Kamaldinovich Yuldashev, Siberian state aerospace university, Krasnoyarsk
Cand. Sc. (Physics and Mathematics), Associate Professor, Doctoral Candidate, Department of Higher Mathematics
