Asymptotic Formula for Oscillatory Solutions of Some Singular Nonlinear Differential Equation

الملخص EN

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.