非线性脉冲向量抛物型微分方程解的H-振动性

H-oscillation of Solutions of Certain Nonlinear Impulsive Vector Parabolic Differential Equations

研究了一类具脉冲时滞的非线性抛物型向量泛函微分方程解的H-振动性.采用由Domslak引进的H-振动性的概念,将向量微分方程解的振动问题转化为纯量微分不等式正解和负解的不存在性问题,得到了解的H-振动性的若干判别准则.

Nonlinear impulsive vector parabolic differential equations are studied;and the H-oscillation of solutions are also investigated. The approach is to reduce the oscillation problems to the nonexistence of positive and negative solutions of scalar differential inequalities by employing the concept of H-oscillation introduced by Domslak. Several H-oscillation criteria are obtained.