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Exact(1)
Mathematically, because the second integral is singular for the singular point x = 0.
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This results in the second integral nonintegrable because of the negative power of z.
Because the nonlinearity is bounded (assumption (3.3)) and the second integral in previous equality (3.16) converges to zero.
end{aligned}The second integral is O(1) as (trightarrow 0^+) (because of Corollary 6.12).
The second integral is.
The second integral form is less obvious.
This decreases the value of the first integral in (21) and increases the second integral, such that ˙w > 0 at w0.
This increases the value of the first integral in (21) and decreases the second integral, such that ˙w< 0 at w0.
The first integral is.
and the third integral is.
The first integral gives us (3.15).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com