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# On the unique existence of periodic solutions of neutral Volterra integro-differential equations

Periodica Mathematica Hungarica
Author: K. Wang
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# Periodic solutions of nonlinear integro-differential equations with an impulse effect

Periodica Mathematica Hungarica
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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