Geodesic
The method of differential relations and nonlinear inverse problems
Sibirskij žurnal industrialʹnoj matematiki, Tome 18 (2015) no. 2, pp. 36-47

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We apply the method of differential relations to the study of some inverse problems for nonlinear one-dimensional differential equations of a general type including the classical equations of soliton theory. We also consider the problem of finding a potential for an equation of continuum mechanics in the one-dimensional case in presence of some differential relation.
Keywords: inverse problems, nonlinear equations, presentations of solutions.
Mots-clés : soliton 
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     title = {The method of differential relations and nonlinear inverse problems},
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Yu. E. Anikonov; M. V. Neshchadim. The method of differential relations and nonlinear inverse problems. Sibirskij žurnal industrialʹnoj matematiki, Tome 18 (2015) no. 2, pp. 36-47. http://geodesic.mathdoc.fr/item/SJIM_2015_18_2_a3/