Necessary and sufficient conditions for the Lipschitz invertibility of the nonlinear differential mapping \(d/dt-f\) in the spaces \(L_ p({\mathbb R},{\mathbb R}), 1\leq p\leq\infty\).

General theory of ordinary differential operators (47E05) Continuous and differentiable maps in nonlinear functional analysis (46T20) Nonlinear ordinary differential operators (34L30)

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