In this paper we investigate the long-time behavior of the subordination of the constant speed traveling waves by a general class of kernels. We use the Feller–Karamata Tauberian theorem in order to study the long-time behavior of the upper and lower wave. As a result we obtain the long-time behavior for the propagation of the front of the wave.

中文翻译：

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从属行波的渐近行为

在本文中，我们研究了由一类普通核对等速行波从属的长期行为。我们使用Feller–Karamata Tauberian定理来研究上下波的长期行为。结果，我们获得了波前传播的长期行为。