MULTIVALUED DIFFERENTIAL EQUATIONS IN BANACH SPACES AND THEIR APPLICATIONS  

作　　者：刘振海 

出　　处：《Acta Mathematica Scientia》2002年第2期213-221,共9页数学物理学报（B辑英文版）

基　　金：This research is supported by the National Natural Science Foundation of China(10171008)

摘　　要：This paper studies the existence of solutions to a class of multivalued differential equations by using a surjectivity result for multivalued (S+) type mappings. The authors then apply their results to evolution hemivariational inequalities and parabolic equations with nonmonotone discontinuities, which generalize and extend previously known theorems.This paper studies the existence of solutions to a class of multivalued differential equations by using a surjectivity result for multivalued (S+) type mappings. The authors then apply their results to evolution hemivariational inequalities and parabolic equations with nonmonotone discontinuities, which generalize and extend previously known theorems.

关 键 词：Evolution equations differential inclusions mulitvalued mappings existence results hemivariational inequality 

分 类 号：O175[理学—数学]