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QUASI PERIODIC SOLUTIONS OF NEUTRAL VOLTERRA INTEGRAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY |
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Citation: |
Wang Ke.QUASI PERIODIC SOLUTIONS OF NEUTRAL VOLTERRA INTEGRAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY[J].Chinese Annals of Mathematics B,1991,12(2):157~163 |
Page view: 845
Net amount: 821 |
Authors: |
Wang Ke; |
Foundation: |
Project supported in part by Science Fund of the Chinese Academy of Sciences, |
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Abstract: |
This paper deals with the uniqueness, existence and non-existence of quasi periodic solutions of neutral Volterra differential equations of the form
$$\[{C(t,x)x(s)ds\begin{array}{*{20}{c}}
{}&{(1)}
\end{array}}\]$$
and
$$\[{C(s - t)x(s)ds + f(t)\begin{array}{*{20}{c}}
{}&{(2)}
\end{array}}\]$$
Some new unique existence criteria and non-existence criteria of quasi periodic solutions for (1) and (2) are obtained. |
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