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Exact(10)
It follows from a direct computation that.
It follows from a direct computation that S = {λ 2}, ∀λ ∊ Λ.
For any f ∈ C ∗ ∖ { 0 }, it follows from a direct computation that V f = [ 0, 1 ].
Conversely, it can easily be shown by direct computation that the integral equation (2.2) satisfies the problem (1.2).
Conversely, it can easily be shown by direct computation that the integral equation (3.7) satisfies the impulsive periodic boundary value problem (3.6).
Conversely, it can easily be shown by direct computation that the integral equation (4.6) satisfies the impulsive initial value problem (4.5).
Similar(50)
Finally, it is easy to show by direct computations that ((x_{6}, y_{6}) = (2b + d, b)).
Moreover, one can verify by direct computations that the monotonicity assumption (1.6) holds for (3.27) only if R i does not depend on λ.
Firstly a direct computation yields that is convex and monotone increasing on with.
Remark 8 Considering non-integer values of m, we can solve equation (15) only in the symmetric case, in which m = ⌊ m ⌋ + 1 2 = ⌈ m ⌉ − 1 2. Either the symmetry of sine functions or the direct computation yields that β = π N + 1 − m.
Direct computation shows that the coefficients of model (3.2) satisfy the assumptions of Theorem 2.7.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com