作者机构:
[李元旦; 罗李平] Department of Mathematics and Computational Science,Hengyang Normal University;[俞元洪] Academy of Mathematics and Systems Science,Chinese Academy of Sciences
关键词:
H-oscillation;vector;parabolic equation;continuous distribution argument
摘要:
The oscillations of a class of vector parabolic partial differential equations with continuous distribution arguments are studied.By employing the concept of H-oscillation and the method of reducing dimension with inner product,the multi-dimensional oscillation problems are changed into the problems of which one-dimensional functional differential inequalities have not eventually positive solution.Some new sufficient conditions for the H-oscillation of all solutions of the equations are obtained under Dirichlet boundary condition,where H is a unit vector of RM.