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arXiv · 2202.10133

Evolution equations with eventually positive solutions

Jochen Glück
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Abstract

We discuss linear autonomous evolution equations on function spaces which have the property that a positive initial value leads to a solution which initially changes sign, but then becomes - and stays - positive again for sufficiently large times. This eventual positivity phenomenon has recently been discovered for various classes of differential equations, but so far a general theory to explain this type of behaviour exists only under additional spectral assumptions.

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Jochen Glück. 2022-02-21. Evolution equations with eventually positive solutions. https://arxiv.org/abs/2202.10133

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