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

Table 1

Comparison of upper bounds for 𝑏 in Example 12.

Exponent 𝑟	Case	Theorem 2	[4, Corollary 2.6]	[4, Theorem 3.1]
𝑟=1.5	𝑦(1)=𝑦^′(𝑏)=0	𝑏≤3.32	𝑏≤3.26	𝑏≤2.99
𝑟=1.5	𝑦^′(1)=𝑦(𝑏)=0	𝑏≤2.97	𝑏≤2.86	𝑏≤2.99
𝑟=5.0	𝑦(1)=𝑦^′(𝑏)=0	𝑏≤2.58	𝑏≤2.55	𝑏≤2.54
𝑟=5.0	𝑦^′(1)=𝑦(𝑏)=0	𝑏≤2.47	𝑏≤2.49	𝑏≤2.54