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。
In this paper, the finite double Fourier transforms were applied to solve the nonhomogeneous boundary value problems of the wave, heat conduction, Laplace and Poisson equations.
特别是利用广义格林函数证明了高阶齐次方程存在非平凡解的情况下对应的高阶非齐次边值问题存在一解的充要条件。
In particular, we use generalized Green's function to prove that the high-order nonhomogeneous boundary value problem has a solution when the associated homogeneous problem has a nontrivial solution.
摘要利用由三角级数和幂级数复合构成的函数项级数的有关性质，得到了一类变系数非齐次调和方程边值问题的级数解。
In this paper by using the property of Fourier series a compound series consisting of trigonometric series and power series is established.
并通过变量代换，将原问题的非齐次边界条件转化为齐次边界条件的边值问题。
Through the change of variables, the original problem with inhomogeneous boundary condition is reduced to the boundary value problem of homogeneous boundary condition.
考虑非齐次波动方程初边值问题的形式级数解的收敛性问题。
The convergence of the formal series solution to the initial boundary value problem for the non-homogeneous wave equation is considered.
考虑非齐次波动方程初边值问题的形式级数解的收敛性问题。
The convergence of the formal series solution to the initial boundary value problem for the non-homogeneous wave equation is considered.
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