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Non-genericity of initial data with punctual $$\omega $$-limit set

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We show the existence of a non-linear differential equation of gradient type for which the set of initial values for which the corresponding solution converges to a point is non-generic. Click to show full abstract

We show the existence of a non-linear differential equation of gradient type for which the set of initial values for which the corresponding solution converges to a point is non-generic.

Keywords: non genericity; punctual omega; genericity initial; omega limit; data punctual; initial data

Journal Title: Archiv der Mathematik
Year Published: 2019

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