Abstract
We prove a differential-functional version of the Lemma of Nagumo and Westphal which can be applied to differential-functional inequalities for bounded C ∞-functions on \(\mathbb{R}\) having bounded derivatives. As an application an existence and uniqueness result for bounded solutions of linear second order differential-functional equations is proved.
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Herzog, G. Second Order Differential-functional Inequalities for Bounded Functions. Positivity 7, 177–183 (2003). https://doi.org/10.1023/A:1026265925822
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DOI: https://doi.org/10.1023/A:1026265925822