Asymptotic formulas for nonoscillatory solutions of conditionally oscillatory half-linear equations

Mathematica Slovaca

Zuzana Pátíková¹ 

关键词: half-linear differential equation;    conditionally oscillatory half-linear equation;    modified Riccati equation;   

DOI  :  10.2478/s12175-010-0008-8

学科分类：数学（综合）

来源: Slovenska Akademia Vied * Matematicky Ustav / Slovak Academy of Sciences, Mathematical Institute

【 摘 要 】

We establish asymptotic formulas for nonoscillatory solutions of a special conditionally oscillatory half-linear second order differential equation, which is seen as a perturbation of a general nonoscillatory half-linear differential equation $$(r(t)Phi (x'))' + c(t)Phi (x) = 0,Phi (x) = |x|^{p - 1} operatorname{sgn} x,p > 1,$$ where r, c are continuous functions and r(t) > 0.

【 授权许可】

Unknown