Some Boundary Problems in Relation to Linear Heat Conduction

[摘要] The equation: which appears freqpuently in the problems of linear heat conduction was integrated, when A(x) is a function of x, in the interval First we give the case The corresponding solution whenNext a general method of integration was given when A(x) is any given function of x and for the interval, of course being able to be extended to the case By a method similar to Stokes', the solution for is give bywhere Xs, s=1, 2, 3, .... are the solutions of the equationsubject to the conditionsthat is, Xs(x) are orthogonal functions and the constants λs are also determined at the same time. Several examples were also given.

[学科分类] 大气科学