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Some new results on periodic solutions of linear Volterra integral and integrodifferential equations. (English) Zbl 0695.45003

Explicit formulae are given for periodic solutions of Volterra integral and integrodifferential equations \(x(t)=f(t)+\int^{t}_{-\infty}D(t- s)x(s)ds\) and \((d/dt)(x(t)-\int^{t}_{-\infty}D(t- s)x(s)ds)=Ax(t)+\int^{t}_{-\infty}C(t-s)x(s)ds+f(t),\) where \(x(t)\in {\mathbb{R}}^ n\).
Reviewer: S.Milusheva

MSC:

45D05 Volterra integral equations
45J05 Integro-ordinary differential equations
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