Research On Solvable Theorems On A Class Of Monotone Type Input-Output Equation

In this paper, we manily discuss the solvable problems including existence and continuity on a class of monotone type input-output equation in R~n.Firstly, we combine the theories of monotone operator and maximal monotone operator's Yosida approaching with domain method to prove the solution's existence of single input-output equation in R n in the similar economical backgrounds in present articles and then gain the solution's continuity by exterior approaching method,at last we give the responding economical meaning about the solution's existence and continuity.Secondly, we combine the theories of monotone operator and maximal monotone operator's Yosida approaching with domain method to prove the solution's existence of set-valued input-output equation in R n in the similar economical backgrounds in present articles too and then gain the solution's continuity by interior approaching method,at last we give the responding economical meaning about the solution's existence and continuity.At last,we conclude the essay and put forward to some new questions(such as saddle points question) and ways by which may be solved(variational inequality and functional analysis).