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Table 1 Situations matching Theorem 3.3

From: Well-posedness of a class of two-point boundary value problems associated with ordinary differential equations

Case b F(H) Assumptions
1 b<0 F(H)≥0  
2 b>0 F(H)≥0 \((a+d)^{2}-4bc\geq0\), \(H\leq-\frac{a+d}{2b}\)
3 b>0 F(H)≤0  
4 b<0 F(H)≤0 \((a+d)^{2}-4bc\geq0\), \(H\geq-\frac{a+d}{2b}\)