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Regular version of the site

Article

Numerical Methods for Constructing Solutions of Functional Differential Equations of Pointwise Type

Advances in Systems Science and Applications. 2020. Vol. 20. No. 2. P. 56-70.

The article discusses construction of traveling wave type solutions for the Frenkel-Kontorova model on the propagation of longitudinal waves. For the first time, based on the existence and uniqueness theorem of traveling wave type solutions, as well as the approximation theorem, a complete family of traveling wave type solutions is constructed in the form of subfamilies of bounded solutions (horizontals) and unbounded solutions (verticals).