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Moreover, they found that differentiable functions satisfying (2) satisfy (1).
Solutions of (2) satisfy (7).
Similarly, if z 1, z 2 satisfy (3.18).
Theorem 2.2 Assume that f 1, f 2 satisfy conditions (F1 - F4).
Now, calculate the deviation (30) when x 1, x 2 satisfy condition (32).
The operators A 2 and B 2 satisfy all the conditions of Lemma 2.4.
Similar(21)
The fixed impulsive moments t k ( k = 1, 2, … ) satisfy 0 = t 0 < t 1 < t 2 < ⋯ , and lim k → ∞ t k = ∞.
Assume that functions (f_{i}), (i=1,2), satisfy the conditions of Theorem 2.
Let (c>0) be a constant and (ain C mathbb{T}^{2})) satisfy (H1).
Thus, the operators (F_{1}) and (F_{2}) satisfy all the conditions of Lemma 3.1.
Then,22, satisfy the inhomogeneous second-order linear difference equations (4.3).
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