Stability properties of positive solutions to partial differential equations with delay (Q2753144)
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scientific article; zbMATH DE number 1667111
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability properties of positive solutions to partial differential equations with delay |
scientific article; zbMATH DE number 1667111 |
Statements
24 January 2002
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semilinear equations with delay
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stability of stationary solutions
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convex nonlinearity
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concave nonlinearity
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Stability properties of positive solutions to partial differential equations with delay (English)
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The authors study the stability of positive stationary solutions to semilinear partial differential equations with delay under Dirichlet boundary condition. It is shown that to have stability, for general delay, the nonlinearity is required to be monotone; for discrete delay the monotonicity assumption is not needed.
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