Nonprincipal solutions of half-linear second order differential equations

被引：5

作者：

Dosly, Ondrej ^{[1
]}

Unal, Mehmet ^{[2
]}

机构：

[1] Masaryk Univ, Dept Math & Stat, CZ-61137 Brno, Czech Republic

[2] Bahcesehir Univ, Fac Engn, TR-34100 Istanbul, Turkey

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 09期

关键词：

Half-linear oscillation theory; Principal solution; Nonprincipal solution; Oscillation criterion; Riccati type equation;

D O I：

10.1016/j.na.2009.02.085

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the nonoscillatory half-linear second order differential equation (r(t)phi(x'))' + c(t)phi(x) = 0, phi(x) = |x|(p-2)x, p>1, (*) and we suppose that we know its principal solution (x) over tilde. We establish an asymptotic formula for nonprincipal solutions of (*) and we use this asymptotic formula to obtain an oscillation criterion for (*). (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：4026 / 4033

页数：8

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