论文标题
时间尺度的多价对数
A Multi-Valued Logarithm on Time Scales
论文作者
论文摘要
为时间尺度引入了多价对数的新定义，以实现永不消失的差异性函数。这个新的对数自然源于气缸变换的定义，这也是指数函数按时间尺度定义的核心。该定义将在任意时间尺度上具有对数函数，并具有文献中先前的定义所缺乏的熟悉和有用的属性。
A new definition of a multi-valued logarithm on time scales is introduced for delta-differentiable functions that never vanish. This new logarithm arises naturally from the definition of the cylinder transformation that is also at the heart of the definition of exponential functions on time scales. This definition will lead to a logarithm function on arbitrary time scales with familiar and useful properties that previous definitions in the literature lacked.
