In [40], the author discussed the controllability of fractional control systems with control delay, and only used the Mittag-Leffler function to deduce the solution.
First, the theory of elastic wave propagation is used to deduce the solution of free field ground motion on the axis of tunnel under incident SH wave without considering the existence of the tunnel.
Finally, we deduce the exact solutions of the combined ZK-mZK equation via the semi-inverse variational principle.
On the other hand, Koch and Nadirashvili [10] recently constructed an example which illustrates that the continuity of f is not sufficient to deduce that weak solutions of (Delta u = f u)) are in (C^{1,1}).
This extension is carried out in the next section and will then be applied to deduce existence of solutions for greater classes of problems among which we find the following one, which we shall study in detail as an example: x ″ = ϕ 1 / 3 ( 1 t 2 + | x | ) a.e.
Being the cardinality of class C equal to 6, we can deduce that these solutions are generated only by the combination of the pair and the triplet just mentioned.
In Section 2 we theoretically deduce closed-form solutions of the BSC's for linearly polarized Bessel beams, which can be automatically extended to circularly polarized beams by applying simple symmetry considerations.
