Abstract
A classical nonlinear differential equation with deviations in a spatial variable is considered. Solutions with initial conditions from a small neighborhood of equilibrium are studied by constructing multiparameter families of special nonlinear systems of equations, which play the role of normal forms. Systems of Schrödinger-type nonlinear equations in a two-dimensional domain are presented.
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Original Russian Text © S.A. Kashchenko, 2017, published in Doklady Akademii Nauk, 2017, Vol. 476, No. 5, pp. 500–505.
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Kashchenko, S.A. Families of normalizes equations in the problem of dislocations in a solid body. Dokl. Math. 96, 517–521 (2017). https://doi.org/10.1134/S1064562417050258
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DOI: https://doi.org/10.1134/S1064562417050258