Abstract
Themethod of differential constraints is applied to the study of some inverse problems for nonlinear one-dimensional differential equations of general type that include the classical equations of soliton theory. Under consideration is the problem of finding a potential for an equation of continuum mechanics in the one-dimensional case in the presence of some differential constraint.
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Original Russian Text © Yu.E. Anikonov, M.V. Neshchadim, 2015, published in Sibirskii Zhurnal Industrial’noi Matematiki, 2015, Vol. XVIII, No. 2, pp. 36–47.
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Anikonov, Y.E., Neshchadim, M.V. The method of differential constraints and nonlinear inverse problems. J. Appl. Ind. Math. 9, 317–327 (2015). https://doi.org/10.1134/S1990478915030035
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DOI: https://doi.org/10.1134/S1990478915030035