Using Picard's theorem and the Leray-Schauder fixed point theorem to reinvestigate the area-preserving convex curve flow in the plane which is considered as a coupled system and thus different from the setting han...Using Picard's theorem and the Leray-Schauder fixed point theorem to reinvestigate the area-preserving convex curve flow in the plane which is considered as a coupled system and thus different from the setting handled by Gage.展开更多
Using Schauder's fixed point theorem, we obtain the existence and uniqueness of the solution for the boundary value problem of a third order differential-difference equation,and an approximate solution as well as ...Using Schauder's fixed point theorem, we obtain the existence and uniqueness of the solution for the boundary value problem of a third order differential-difference equation,and an approximate solution as well as an estimation of the error between the approximate solution and the solutionis given by using the Picard's iterative methods.展开更多
文摘Using Picard's theorem and the Leray-Schauder fixed point theorem to reinvestigate the area-preserving convex curve flow in the plane which is considered as a coupled system and thus different from the setting handled by Gage.
文摘Using Schauder's fixed point theorem, we obtain the existence and uniqueness of the solution for the boundary value problem of a third order differential-difference equation,and an approximate solution as well as an estimation of the error between the approximate solution and the solutionis given by using the Picard's iterative methods.
