On constants in nonoscillation criteria for half-linear differential equations
Summary: We study the half-linear differential equation \[ (r(t)\Phi(x'))' + c(t)\Phi(x) = 0 \text{, where }\Phi(x) = |x|^{p-2}, p > 1. \] 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.
scientific article; zbMATH DE number 5997815