Accretive equations in cones of Banach space
The purpose of this paper is to study the existence of solutions for the equation x,(t) =, -Ax(t), x(0) = x is an element of D(A), where P is a cone of a Banach space and A : P --> P is an accretive mapping satisfying (I + lambda A)(P) =, and to give some sufficient conditions which ensure A(D(A))= P and (I + lambda A)(D(A))= P. (C) 2000 Elsevier Science Ltd. All rights reserved.
accretive mapping m-accretive mapping m-accretive mapping in cone