一类半线性含可变时滞脉冲抛物型方程解振动的充要条件  

Necessary and Sufficient Conditions for Oscillation for a Class of Semi-linear Impulsive Parabolic Equations with Variable Delays

作　　者：冯菊[1] 李树勇[2] 

机构地区：[1]西华师范大学美术学院,四川南充637002 [2]四川师范大学数学与软件科学学院,四川成都610066

出　　处：《四川师范大学学报（自然科学版）》2010年第2期162-165,共4页Journal of Sichuan Normal University（Natural Science）

基　　金：国家自然科学基金(10671133);四川省学术和技术带头人培养资金(1200311)资助项目

摘　　要：研究一类半线性含可变时滞脉冲抛物型方程解的振动性质.首先利用分析技巧,给出一个脉冲时滞微分方程解振动的条件.然后,利用平均法,将该方程解振动性问题转化为相应脉冲时滞微分方程解振动性问题,进而,在齐次Neumann边界条件下获得判别该类方程解振动的充要条件.In this paper,oscillation of solution for a class of semi-linear impulsive parabolic equations with variable delays is discussed.Some sufficient conditions for oscillation of impulsive differential equations are obtained by using analysis skill at first.Using averaging method,oscillation of the equations is transformed into the oscillation of the corresponding impulsive differential equations.Some necessary and sufficient conditions for oscillation of their solutions are obtained under the homogeneous Neumann boundary condition.

关 键 词：脉冲 时滞 抛物型方程 振动 充要条件 

分 类 号：O175.26[理学—数学]