Abstract
The importance of functional differential equations of pointwise type is determined by the fact that their solutions are used to construct traveling-wave solutions for induced infinite-dimensional ordinary differential equations, and vice versa. Solutions of such equations exhibit bifurcation. A theorem on branching bifurcation is obtained for the solution to a linear homogeneous functional differential equation of pointwise type.
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This work was supported by the Russian Foundation for Basic Research, project no. 19-01-00147.
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Translated by I. Ruzanova
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Beklaryan, L.A., Beklaryan, A.L. Functional Differential Equations of Pointwise Type: Bifurcation. Comput. Math. and Math. Phys. 60, 1249–1260 (2020). https://doi.org/10.1134/S0965542520080047
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DOI: https://doi.org/10.1134/S0965542520080047