OSCILLATION OF FIRST ORDER NONLINEAR IMPULSIVE DIFFERENTIAL EQUATIONS WITH MIXED ARGUMENT

• 作者: 燕居让
• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 关键词: IMPULSIVE DIFFERENTIAL EQUATION OSCILLATION MIXED ARGUMENT
• 年，卷（期）: 2002,（3）
• 页码范围: 310-314
• 页数: 5页
• 分类号: O175

摘要

This paper devotes to study the oscillatory behavior of solutions of a first order nonlinear impulsive differential equation with mixed argument. First, without assuming the deviating argument to be retarded or advanced, a sufficient condition is established for all solutions of the differential equation to be oscillatory. Next, a sufficient condition for the differential equation to have nonoscillatoty solution is given. Finally, a sufficient and necessary condition for all solutions of the differential equation to be oscillatory is obtained.