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But they are solutions nevertheless.
The considered problem has a combinatorial nature and it can be formulated as a Minimum Constrained Spanning Forest problem with costs on arcs that cannot be a priori defined as they are solution-dependent.
They are solutions to a particular differential equation.
That is, they are solutions of (1.1) satisfying the initial values (3.1).
Therefore, u 0, u ∗ are two critical points of φ, and they are solutions of (1.1).
It is clear that if S has fixed points, then they are solutions of VIP (1.7).
It is clear that if S has fixed points, then they are solutions of VIP (1.4).
We prove that they are solutions of second order linear Hahn difference equations.
and, by a standard way, they are solutions of ( P T + ).
We prove they are solutions of first and second order Hahn difference equations, respectively.
These are the nth roots of w; they are solutions of the equation zn = w.
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