Aspects of the behaviour of solutions of nonlinear Abel equations (Q1406774)
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scientific article; zbMATH DE number 1975864
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Aspects of the behaviour of solutions of nonlinear Abel equations |
scientific article; zbMATH DE number 1975864 |
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Aspects of the behaviour of solutions of nonlinear Abel equations (English)
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7 September 2003
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The authors study properties of the behavior (uniqueness, local boundedness, attracting behavior etc.) of positive solutions of the Volterra equation \(u(x)=\int_0^x k(x-s) g(u(s)) ds\) and its particular case (Abel equation) when \(k(x)=x^{\alpha}\), \(-1 <\alpha < 0\).
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nonlinear Abel equation
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nonlinear Volterra equation
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nonlinear integral equation
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attracting solution
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positive solutions
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