“superposition principle”的概念、定义、习题解题方法及翻译-数学辞典

单词

superposition principle

释义

superposition principle

If y1 and y2 are solutions of a homogeneous linear differential equation Ly = 0, then c1y1+ c2y2 is also a solution, by definition of L being linear. The same may also be true of an infinite sum

of solutions yk, though issues of convergence and differentiability may need addressing carefully. Given a homogeneous linear boundary value problem, a general solution may be sought as an infinite sum of separable solutions with the coefficients ck being determined using Fourier analysis.

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