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- W2022706030 abstract "We consider a problem of determining a nonlinearity of an autonomous differential equation from a period function, namely, a relation between periods and amplitudes. A global existence and a characterization of nonlinearities realizing a prescribed period function are established under the assumption that the function is Lipschitz continuous. This gives a global answer to a classical inverse problem in a nonlinear autonomous oscillation. We also consider a related problem of determining a nonlinearity from a relation between periods and initial positions with zero velocity, and give a criterion for the nonlinearity to be unique. This result applies to an inverse bifurcation problem." @default.
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- W2022706030 date "2013-07-01" @default.
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- W2022706030 title "Global determination of a nonlinearity from a periodic motion" @default.
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