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A piecewise continuous upper solution of (1.1) is defined reversing the relevant inequalities.
A 65-year-old woman visited our hospital with a complaint of continuous upper abdominal pain.
Similarly, the upper line, representing the sum of VOC production and respiratory CO2 in ppm C, was interpolated with the LOESS function to yield a continuous upper line.
Having a continuous upper surface to the wing (as in the high-wing layout) can improve the L/D ratio and keeps the engines at a higher distance from the ground, thereby avoiding debris from poor or unpaved runways.
Continuous upper atmosphere winds in excess of 200 mph contain 100 times the energy used yearly by humans.
Experience with previous battlecruiser designs led to the adoption of a continuous upper deck, which raised the level of the deck aft.
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It is easy to observe that these equations will have piecewise continuous natural upper and lower solutions for all time.
Next, we develop a generalized monotone method for the impulsive hybrid differential equation for equations (23) and (24) using piecewise continuous coupled upper and lower solutions.
From Remark 2.1, Theorem A retains its validity when (f:Xtimes Xto R) is continuous or upper semicontinuous on (Xtimes X).
And so, Ψ is outer-open, outer-continuous and upper semicontinuous at ( 0, 0 ) (in fact, Ψ = [ 0, 1 ], ∀ γ ∈ [ 0, 1 ] ).
Then is lower semi-continuous and is upper semi-continuous.
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