The Distribution of Zeroes and Critical Points of Solutions of a Second Order Half-Linear Differential Equation

Table 3

Comparison of upper bounds for 𝑏 in Example 14.

Exponent 𝑟	Case	Theorem 8	[4, Theorem 2.3]	[4, Theorem 3.1]
𝑟=1.5	𝑦(1)=𝑦^′(𝑏)=0	𝑏≤2.10	𝑏≤2.012	𝑏≤2.01
𝑟=1.5	𝑦^′(1)=𝑦(𝑏)=0	𝑏≤2.10	𝑏≤2.012	𝑏≤2.01
𝑟=5.0	𝑦(1)=𝑦^′(𝑏)=0	𝑏≤2.21	𝑏≤2.32	𝑏≤3.09
𝑟=5.0	𝑦^′(1)=𝑦(𝑏)=0	𝑏≤2.32	𝑏≤2.43	𝑏≤3.09