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The transformed solutions are obtained using the Fourier transform on the space variable.
The functions F, G, and Σ are locally Lipschitz continuous in the space variable z.
Especially, the nonlinearity f permits the singularity on the space variable.
Problem P does not admit any non-trivial solution independent of the space variable x.
PCA [16] is applied for reduction of the descriptor space (variable space).
In the first step, let us use the discretization in the space variable x.
F x u denotes the Fourier transformation of u with respect to its space variable.
Step 3: Discretize the space variable X in the bilinear equations (15) and (16).
However, the models in [10 13] cannot explicitly contain the space variable.
Problem (2.9) is an ODE boundary value problem in space variable x.
By re-scaling the space variable we may assume that (Gamma=1).
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