Based on the distributions space on 𝒮ℂ′ (denoted by ℱ𝜃∗(𝒮′ ℂ)) which is the topological dual space of the space of entire functions with exponential growth of order 𝜃 and of minimal type, we introduce a new type of differential equations using the Wick derivation operator and the Wick product of elements in ℱ𝜃∗(𝒮′ ℂ). These equations are called generalized Bernoulli Wick differential equations which are the analogue of the classical Bernoulli differential equations. We solve these generalized Wick differential equations. The present method is exemplified by several examples.

中文翻译：

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广义伯努利威克微分方程

基于分布空间𝒮ℂ'（表示为ℱ𝜃*(𝒮' ℂ)) 是阶数呈指数增长的整个函数空间的拓扑对偶空间𝜃对于最小类型，我们使用 Wick 推导算子和元素的 Wick 积引入了一种新型微分方程ℱ𝜃*(𝒮' ℂ). 这些方程称为广义伯努利威克微分方程，是经典伯努利微分方程的类似物。我们求解这些广义 Wick 微分方程。本方法通过几个例子来举例说明。