Methods of oscillation theory of half-linear second order differential equations期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

首页 | 本学科首页

官方微博 | 高级检索

按检索

Methods of oscillation theory of half-linear second order differential equations

Authors:

Ond?ej Do?lý

Institution:

(1) Mathematical Institute, Academy of Sciences of the Czech Republic, Zcaron

kova 22, CZ-616 62 Brno.

Abstract:

In this paper we investigate oscillatory properties of the second order half-linear equation

$\left( * \right){\text{ }}\left( {r\left( t \right)\Phi \left( {y\prime } \right)} \right)\prime + c\left( t \right)\Phi \left( y \right) = 0,{\text{ }}\Phi \left( s \right): = \left| s \right|^{p - 2} s.$

Using the Riccati technique, the variational method and the reciprocity principle we establish new oscillation and nonoscillation criteria for (*). We also offer alternative methods of proofs of some recent oscillation results.

Keywords:

half-linear equation Riccati technique variational principle reciprocity principle principal solution oscillation and nonoscillation criteria

本文献已被 SpringerLink 等数据库收录！

设为首页 | 免责声明 | 关于勤云 | 加入收藏