Fixed points and stability in linear neutral differential equations with variable delays (Q631670)
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scientific article; zbMATH DE number 5865486
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fixed points and stability in linear neutral differential equations with variable delays |
scientific article; zbMATH DE number 5865486 |
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Fixed points and stability in linear neutral differential equations with variable delays (English)
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14 March 2011
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The equation \[ x'(t) = -\sum^N_{j=1}b_j(t)x(t-\tau_j(t)) +\sum^N_{j=1}c_j(t)x'(t-\tau(t)) \] is considered. Under suitable assumptions, a necessary and sufficient condition is found for the zero solution to be asymptotically stable. This improves and generalises some available results.
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fixed points
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stability
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neutral differential equations
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variable delays
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