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Exact(25)
Then for the solution of the difference scheme (10), the coercive estimate (12) holds.
Then for the solution of the difference scheme (10), the estimate (12) holds.
Then for the solution of the difference scheme (35) the coercive stability estimate (31) holds.
holds for every t ≥ 0. Then for the solution of the difference scheme (9), the coercive estimate (12) holds.
In [6], Cinar studied the solution of the difference equation x n + 1 = x n − 1 1 + x n x n − 1.
We have not been able to obtain the same result for the solution of the difference scheme (10) in spaces E α under assumption (7).
Similar(35)
However, often the qualitative properties of the solutions of the difference equation are quite different from the solutions of the corresponding differential equations.
The solutions of the difference scheme are denoted as (bar{u}_{i,j}).
then all the solutions of the difference equation △ y n + d n y n − k γ = 0. are oscillatory.
The proofs of the estimates (32), (33) for the solutions of the difference problems (34), (38) are based on equation (11) and estimates (43), (44).
The solutions of the difference equation L x = 0 are of the form a t with a satisfying the equation 2 a 2 − 4 a + 1 = 0.
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