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and strongly order preserving if (2.5).
If T is strongly order preserving, then there exists a fixed point in ([!![a,b ]!!]) which is stable relative to ([!![a,b ]!!]).
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We talk about the series that she loves – The Sopranos, The Wire, Breaking Bad – and an article she once read that explored "our fascination with these very strongly ordered patriarchal communities".
Under, is satisfied, and is strongly order-preserving.
We know that is strongly order-preserving, so does given in Lemma 2.1.
Since the right-hand side of (4.7) defines a compact strongly order-preserving operator, we find that ϕ must change sign in ( p, q ).
Lemma 3.2 (see [20]). is a linear completely continuous operator and also a linear completely continuous operator from In addition, is strongly order-preserving.
If there exist no strict supsolution and supersolution required in [20], just only using the functional to get the critical point [10, 11], then we just know that (BVP) (1.2) has solutions, even we can know the sign of the critical point of the functional because is not strongly order-preserving in.
Then ((mathbb{Y},mathbb{Y}^)) is a strongly ordered Banach space.
Define (X^=C overline{Omega}, mathbb{R}_^{2})); then ((X,X^)) is a strongly ordered space.
The large platelet (100) faces are parallel to each other and the platelet c-axis is strongly ordered with the collagen fibril axis.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com