2019
Том 71
№ 11

All Issues

On the existence and stability of periodic and almost periodic solutions of quasilinear equations with maxima

Bantsur N. R., Trofimchuk E. P.

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Abstract

We study the problem of existence of periodic and almost periodic solutions of the scalar equation x′ (t) = − δx(t) + pmax u∈[th, t] x(u) + f(t) where δ, pR, with a periodic (almost periodic) perturbation f(t). For these solutions, we establish conditions of global exponential stability and prove uniqueness theorems.

English version (Springer): Ukrainian Mathematical Journal 50 (1998), no. 6, pp 847-856.

Citation Example: Bantsur N. R., Trofimchuk E. P. On the existence and stability of periodic and almost periodic solutions of quasilinear equations with maxima // Ukr. Mat. Zh. - 1998. - 50, № 6. - pp. 747–754.

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