On the existence and stability of periodic and almost periodic solutions of quasilinear equations with maxima |
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Authors: | N R Bantsur O P Trofimchuk |
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Institution: | (1) Institute of Mathematics, Ukrainian Academy of Sciences, Kiev;(2) Kiev Polytechnic Institute, Kiev |
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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∈t − h, t]
x(u) + f(t) where δ, p ∈ R, with a periodic (almost periodic) perturbation f(t). For these solutions, we establish conditions of global exponential stability and prove uniqueness theorems.
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 6, pp. 747–754, June, 1998. |
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