Asymptotic Formula for Oscillatory Solutions of Some Singular Nonlinear Differential Equation
Irena Rachůnková, Lukáš Rachůnek · Abstract and Applied Analysis · 2011
Singular differential equation ( p ( t ) u ′ ) ′ = p ( t ) f ( u ) is investigated. Here f is Lipschitz continuous on ℝ and has at least two zeros 0 and L > 0 . The function p is continuous on [0,∞) and has a positive continuous derivative on (0,∞) and p (0) = 0. An asymptotic formula for oscillatory solutions is derived.