Accretive equations in cones of Banach space
The authors prove an existence result concerning the Cauchy problem: \(x'(t)=-Ax(t)\), \(x(0)=\xi\in D(A)\), where \(A\) is an accretive operator acting from a cone \(P\) in a Banach space into itself and satisfying \((I+\lambda A)(P)=P\). Some sufficient conditions in order that \(A(D(A))=P\) and \((I+\lambda A)(D(A))=P\) are also proved.
scientific article; zbMATH DE number 1471580