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Namely, is a upper solution of (1.2).
Similarly, (theta (t)) is an upper solution of (1.1).
Therefore, β is an upper solution of (1) at λ ∗.
Thus β 1 is a strict upper solution of (2).
Analogously, is an upper solution of NBVP (2.2) if (3.2).
we know that is an upper solution of (1.1).
is a weak upper solution of (1.7) if.
This means that β is an upper solution of (3.1).
Consequently, β is an upper solution of PBVP (5.5).
Next we construct a upper solution of (2.4).
We now choose an upper solution of the form (3.21).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com