平面平行边界系统热传导方程的第三边值问题
Third Boundary-Value Problem of the Heat Conduction Equation for a System with Plane-Parallel Boundaries
摘要：
得到了第三类边界条件下热传导方程解的一种新表示。所得结果是一个变系数无界系统基本解的叠加，并给出了其显式。我们认为众所周知的问题的温度场的演变最初均匀分布在一个层。温度场的分布表示在所获得的函数。
英文摘要：
We obtained a new representation of a solution of the heat conduction equation with boundary condition of the third kind for a layer. The result is presented as a superposition of fundamental solutions for an unbounded system with variable coefficients, the explicit form of which is given. We consider the well-known problem of the evolution of the temperature field initially uniformly distributed in a layer. The distribution of the temperature field is represented in terms of the obtained functions.
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