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Stability of a periodic problem of Ambrosetti-Prodi type - MaRDI portal

Stability of a periodic problem of Ambrosetti-Prodi type (Q2644824)

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Stability of a periodic problem of Ambrosetti-Prodi type
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    Stability of a periodic problem of Ambrosetti-Prodi type (English)
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    1990
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    The paper investigates the stability of T-periodic solutions of the ordinary differential equation \(\ddot x+c\dot x+g(x)=p(t),\) where \(c>0\), g is a function satisfying conditions of Ambrosetti-Prodi type and p is continuous and T-periodic. The proofs make use of some connection between stability and topological index.
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    stability of T-periodic solutions
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    Ambrosetti-Prodi type
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    topological index
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