ON THE INVERSE PROBLEM FOR THE QUASILINEAR PARTIAL DIFFERENTIAL EQUATION OF THE FIRST ORDER

被引：0

作者：

Yuldashev, Tursun Kamaldinovich ^{[1
]}

机构：

[1] Siberian State Aerosp Univ, Krasnoyarsk, Russia

来源：

VESTNIK TOMSKOGO GOSUDARSTVENNOGO UNIVERSITETA-MATEMATIKA I MEKHANIKA-TOMSK STATE UNIVERSITY JOURNAL OF MATHEMATICS AND MECHANICS | 2012年 / 18期

关键词：

inverse problem; quasilinear equation; additional parameter; nonlinear integral transform; method of compression mappings;

D O I：

暂无

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A method of studying the solvability of the inverse problem for a quasilinear partial differential equation of first order is proposed. Using the nonlinear method of characteristics based on the introduction of an additional argument, the problem is reduced to the study of a nonlinear integral equation. The restored function is found from a nonlinear Volterra integral equation of the first kind by use of a nonlinear integral transformation.

引用

页码：56 / 62

页数：7

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