In this paper, the finite double Fourier transforms were applied to solve the nonhomogeneousboundary value problems of the wave, heat conduction, Laplace and Poisson equations.
本文用有限的二重傅里叶变换解波动方程，热传导方程，拉普拉斯方程以及泊松方程的非齐次边值问题。
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In particular, we use generalized Green's function to prove that the high-order nonhomogeneousboundary value problem has a solution when the associated homogeneous problem has a nontrivial solution.