Exact(11)
Moreover, the solution belongs to M 2 ( ( − ∞, T ] ; R d ).
Moreover, if, then the solution belongs to for all in.
As in [15, Theorem, Chapter ], the solution belongs to hence we obtain that (2.9).
Since and the operator is bounded linear from to, it follows from (1.1) that the solution belongs to.
The mathematical formulation of the problem represents the convex combinations problem with the condition that the solution belongs to a finite set.
These so-called quantities of interest are characterized by linear functionals on the space of functions to where the solution belongs.
Similar(49)
By establishing a new delay differential-difference inequality, without assuming that the discontinuous points of the derivative of the solution belong to the first kind, the global attracting and invariant sets and the sufficient condition ensuring the global exponential stability in Lyapunov sense of a nonlinear neutral differential equations with delays are obtained.
Indeed, this solution belongs to the space (A_({mathbb{R}})), but more exactly it belongs to its subspace (A^{k}_({mathbb{R}})).
Using the generalized Lyusternik theorem, we can describe the solutions belonging to the tangent cone T 1 M ( 0, 0,).
Indeed, the population diversity is correctly conserved during the optimization process; moreover, the solutions belonging to the frontier are equally distributed along the frontier.
Continuing with the work initiated in Dalang and Mueller (Electron. J. Probab. 8 (2003) 1), we prove that the solutions belong to a fractional L2-Sobolev space.
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