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Furthermore, if the compatibility conditions (1.9), (1.10) hold, then (2.28).

which are the compatibility conditions of the initial data.

Displacement compatibility conditions are imposed at the panel-stiffeners interfaces.

Compatibility conditions between HSC and NSC layers are found.

Compatibility conditions and their differential quadrature expressions were explicitly formulated.

This implies that the compatibility conditions (1.6) and (1.7) are satisfied at the time T ∗.

Assume also that the following compatibility conditions hold for the initial data: (1.9).

(u_{0}(x):[0,1]rightarrow 0,1)) and satisfies some compatibility conditions.

note that the compatibility conditions between the initial data and boundary conditions hold.

Throughout the paper, we suppose that the compatibility conditions hold for any initial value.

(4) No compatibility conditions are required at the vertices for (alpha _{j}neq1/3).

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