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The stability of bifurcate solutions for a kind of nonlinear equations. (Chinese. English summary) Zbl 0767.34033

Summary: We discuss the existence and stability of bifurcate solutions for the equation \({\mathcal K}{du\over dt}=F(\lambda,u)\), where \(\mathcal K\) is an analytical operator depending on the real parameter \(\lambda\).

MSC:

34D05 Asymptotic properties of solutions to ordinary differential equations
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