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And so, the resonant BVP (1.1) has at least one positive solution on [ 0, 1 ].
Based on Lemma 2.3, the problem (1.1) has at least one positive solution.
has exactly one positive solution.
has at least one positive solution.
Equation (8) has only one positive solution.
System (4.1), (4.2) has at least one positive solution.
Consequently, (1.9) has at least one positive solution.
then (1.1) has at least one positive solution.
Thus, (15) has at least one positive solution.
Thus, BVP (1.1 - 1.2 1.1 - 1.2east one positive solution.
BVP (3.34) has at least one positive solution.
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