Geodesic
On an inverse problem for a system of quazilinear equations in partial derivatives of the first order
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, no. 6 (2012), pp. 35-41 Cet article a éte moissonné depuis la source Math-Net.Ru

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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 nonlinear integral transformation.
Keywords: inverse problem, system of quasilinear equations, additional parameter, nonlinear integral transformation, method of contracting mapping. 
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     title = {On an inverse problem for a system of quazilinear equations in partial derivatives of the first order},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matematika, mehanika, fizika},
     pages = {35--41},
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     language = {ru},
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T. K. Yuldashev. On an inverse problem for a system of quazilinear equations in partial derivatives of the first order. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, no. 6 (2012), pp. 35-41. http://geodesic.mathdoc.fr/item/VYURM_2012_6_a5/

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