Exact(60)
(2) Because (u(t)) and (v(t)) are continuous on each interval ((t_{k},t_{k+1}]), we only need to check the continuity of (u(t)) and (v(t)) at the impulsive point (t=t_{k}), (kin N).
where are continuous on.
in, which implies that are continuous on.
Moreover, they are continuous on [ 0, 1 ].
So, α and β are continuous on [ a, b ].
Evidently, T x, ( T x ) ′ are continuous on J.
Thus, Λ 1 and Λ 2 are continuous on X.
The functions (Phi_{1}) and (Phi_{2}) are continuous on ((0,infty)) and ((1,infty)), respectively.
The weight functions (V x)), (Q x)) and (P x)) are continuous on Ω.
since the functions are continuous on with and as, [2] with being prefixed and arbitrarily small.
The terms, are defined by (1.2). the positive functions are continuous on and (1.3).
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