摘要
本文研究具有不连续非线性项的抛物型方程组解的存在性.我们利用上下解方法和单调算子的不动点定理,证明了解的存在性.
In this paper,we make a study of parabolic systems with discontinuous nonlinearties.And then we use the method of upper and lower solution and some fixed point theorems of in- creasing operators to show existence of solutions of parabolic system discontinuous nonlinearities.
基金
This work was supported by the University Natural Science Foundation.
关键词
抛物型方程组
不连续
非线性项
parabolic system
discontinuous nonlinearities
Least and greatest solution
monotone iteratve technique