一类具连续分布滞量的偏微分方程的振动性

Oscillation for a Class of Partial Differential Equations with Continuous Distribution Delay

关键词:  微分方程  振动性  连续分布滞盘

Key words:  differential equation  oscillation  continuous distribution delay

摘要:

讨论一类具有连续分布滞盐的二阶非线性偏微分方程在Robin,Dirichlet边界条件下解的振动性,利用Green定理及微积分技巧,获得该类方程解振动的充分条件.

Abstract:

It is discussed that the oscillation of a class of second order nonlinear partial differential equations with continuous distribution delay under Robin and Dirichlet boundary value conditions. The sufficient conditions for the oscillation of solutions of the equation are obtained by using Green's theorem and calculus technique.