We show existence and uniqueness of solutions to an initial boundary value problem that entails a pantograph type functional partial differential equation with two advanced nonlocal terms. The problem models cell growth and division into two daughter cells of different sizes. There is a paucity of information about the solution to the problem for an arbitrary initial cell distribution.

中文翻译：

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关于受电弓型方程解的存在性和唯一性

我们展示了初始边值问题解的存在性和唯一性，该问题需要具有两个高级非局部项的受电弓型泛函偏微分方程。该问题模拟细胞生长和分裂成两个不同大小的子细胞。关于任意初始单元分布的问题解决方案的信息很少。