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• Author or Editor: D. Bainov
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# On periodic solutions of a neutral type equation

Authors: M. Arolska and D. Baînov
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# Absolute exponential stability of nonlinear systems of differential equations with lag

Authors: M. Konstantinov and D. Bainov
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# Periodic solutions of autonomous systems of difference and difference-differential equations with a small delay

Authors: M. Hekimova and D. Bainov

## Abstract

In the present paper the method of the equivalent differential-operator equation has been applied in the study of the existence and asymptotic representation of periodic solutions of autonomous systems of the form

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# On the functional differential equations with “maximums”

Authors: V. Angelov and D. Bainov
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# Periodic solutions of nonlinear integro-differential equations with an impulse effect

Authors: G. Ch. Sarafova and D. D. Bainov

The paper applies a numerical-analytical method for finding periodic solutions of the system of integro-differential equations

\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\begin{gathered} \dot x = f(t,x,\mathop \smallint \limits_0^t \varphi (t,s,x(s))ds), t \ne t_i (x), \hfill \\ \Delta x|_{t = t_i (x)} = I_i (x). \hfill \\ \end{gathered}$$ \end{document}
Two theorems for existence of periodic solutions are proved for the cases whent = t i andt = t i(x).

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# On the application of the averaging method for systems of integro-differential equations of standard type with discontinuous right-hand side

Authors: A. M. Samoilenko, D. D. Bainov and S. D. Milusheva
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