Twice degenerate equations in spaces of vector-valued functions (Q1303599)
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scientific article; zbMATH DE number 1337943
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Twice degenerate equations in spaces of vector-valued functions |
scientific article; zbMATH DE number 1337943 |
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Twice degenerate equations in spaces of vector-valued functions (English)
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7 June 2000
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The purpose of this paper is to calculate an index at infinity for the following classes of asymptotically linear and asymptotically homogeneous vector fields: \[ Tx= x- A(x+ f(t,x)+ b(t)), \] respectively \[ Tx= x- A(x+ f(t,x)+ q(t, x)). \] Applications to a periodic problems for a system of two nonlinear first-order ODE and to a two-point BVP for a system of two nonlinear second-order ODE are also given.
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index at infinity
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asymptotically linear and asymptotically homogeneous vector fields
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periodic problems
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system of two nonlinear first-order ODE
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nonlinear second-order ODE
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