Furthermore, there exists a compact set B, in which all solutions of system (2.2) initiated in X ultimately enter and remain forever after.
Under initial conditions in (1.3), all solutions of system (1.2) are positive and ultimately bounded in (mathcal{C}).
We now prove that system (1.2) has an attraction region, which in fact attracts all solutions of the system, regardless of the initial values [17].
It is used to prove the essential uniqueness of Peierls' solution of the Peierls Nabarro equation and to give, in closed form, all solutions of the analogous periodic problem.
holds for all α ≠ 0 and some sufficiently large a ∈ T, where m 1 = 1 − r 0, η 1 = η 1 ( t, a ) is given in (2.1), then all solutions of (1.1) are oscillatory.
If Assumptions (A1) and (A2) hold and a switching control law (5.11) is adopted, the interconnected Markovian jump system (4.1) is JISpS in probability, and all solutions of closed-loop system are ultimately bounded.
On account of the first condition in (H8), in combination with the maximum principle, all solutions of (3.3) are bounded in the interval ([-c,c]).
which all lie in, and they are all solutions of (1.1).
With the exception of peptide solutions used in the CD studies, all solutions of MAC were made by weighing the lyophilized peptide.
In order to piecewise construct all solutions of (4) with (b=0) we need a partition for the interval ((-infty, infty)).
