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Let us now calculate the generalized Green's function ({mathbf{G}}^{g}) using Corollary 3.
Using Corollary 2.5, we obtain the following.
Using Corollary 1.4(3) it follows that or.
By using Corollary 2.1, we have the following two cases.
Using Corollary 2.5, we can prove the propositions below.
Using Corollary 2.12, we can prove the following proposition.
Using Corollary 4.4, we can similarly show the following result.
Directly using Corollary 3.1, we have the following result.
We also obtain the switching law by using Corollary 4.6.
Using Corollary 2.5, we need to prove that (5.1).
end{aligned} The conclusion is obtained by using Corollary 2.1.
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