论文信息 - On Constants in Nonoscillation Criteria for Half-Linear Differential Equations

On Constants in Nonoscillation Criteria for Half-Linear Differential Equations

We study the half-linear differential equation ( 𝑟 ( 𝑡 ) Φ ( 𝑥  ) )  + 𝑐 ( 𝑡 ) Φ ( 𝑥 ) = 0 , where Φ ( 𝑥 ) = | 𝑥 | 𝑝 − 2 𝑥 , 𝑝 > 1 . Using the modified Riccati technique, we derive new nonoscillation criteria for this equation. The results are closely related to the classical Hille-Nehari criteria and allow to replace the fixed constants in known nonoscillation criteria by a certain one-parametric expression.

R. Marík | Simona Fisnarová

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