Positive solutions of the equation \(\dot x(t)=-c(t)x(t-\tau)\) in the critical case (Q1589721)
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scientific article; zbMATH DE number 1542470
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Positive solutions of the equation \(\dot x(t)=-c(t)x(t-\tau)\) in the critical case |
scientific article; zbMATH DE number 1542470 |
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Positive solutions of the equation \(\dot x(t)=-c(t)x(t-\tau)\) in the critical case (English)
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12 December 2000
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It is considered the asymptotic behaviour of the solutions to the equation \[ \dot x(t)= -c(t)x(t-\tau),\quad c(t)> 0, \] in the nonoscillatory case. There are obtained two-sided (from below and from above) sharp estimates for the pair of subdominant and dominant solutions to the equation.
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linear time delay equation
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nonoscillation
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dominant and subdominant solution
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