Linearized stability for semilinear Volterra integral equations (Q1343062)
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scientific article; zbMATH DE number 716214
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Linearized stability for semilinear Volterra integral equations |
scientific article; zbMATH DE number 716214 |
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Linearized stability for semilinear Volterra integral equations (English)
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22 June 1995
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The authors considers, semilinear Volterra integral equations of the form \([u(t) = \int^ t_ 0 a(t-s) (L+F) u(s)ds + x,\qquad t \geq 0,]\) generalizes the well-known principle of linearized stability for differential equations to integral equations, and establishes the local asymptotic stability of equilibrium points.
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semilinear Volterra integral equations
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linearized stability
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local asymptotic stability
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