\(2T\)-periodic solution for \(m\)-order neutral type differential equations with time delays (Q1611494)
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scientific article; zbMATH DE number 1786282
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(2T\)-periodic solution for \(m\)-order neutral type differential equations with time delays |
scientific article; zbMATH DE number 1786282 |
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\(2T\)-periodic solution for \(m\)-order neutral type differential equations with time delays (English)
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21 October 2002
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The authors consider the existence of a periodic solution to a class of \(m\)-order neutral equations with constant coefficient in the case that the forcing term \(f(t)\) has a Fourier expansion. By using properties of Fourier series, some necessary and sufficient conditions for the existence and uniqueness of periodic solutions are established. Examples are given to explain the results.
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periodic solution
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neutral type equation
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Fourier series
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