论文标题
最终具有正面解决方案的演化方程
Evolution equations with eventually positive solutions
论文作者
论文摘要
我们讨论了功能空间上的线性自主进化方程，该方程具有正面初始值会导致最初改变符号但随后在足够大的时间内变为阳性的解决方案。最近已经针对各种不同的微分方程发现了这种最终的阳性现象，但是到目前为止，仅在其他频谱假设下才存在这种类型的行为的一般理论。
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.
