On the Zeroes and the Critical Points of a Solution of a Second Order Half-Linear Differential Equation

Table 4

Comparison of upper bounds for 𝑏 in Example 4.4.

		Corollary 2.6	Theorem 3.1
𝑟=1.5	𝑦(1)=𝑦^′(𝑏)=0	𝑏≤1.325	𝑏≤1.33
𝑟=1.5	𝑦^′(1)=𝑦(𝑏)=0	No valid bound	𝑏≤1.33
𝑟=5.0	𝑦(1)=𝑦^′(𝑏)=0	𝑏≤1.39	𝑏≤1.83
𝑟=5.0	𝑦^′(1)=𝑦(𝑏)=0	𝑏≤2.19	𝑏≤1.83