부산대학교 도서관

This article discusses a second-order continuous regularization method for nonlinear d-accretive equations in a Banach space. In this case, it is impossible to prove the continuous dependence of the solution of an equation on perturbations of a d-accretive continuous operator and f; therefore, the problem should be classified as ill-posed and solved with the use of some regularization method. Recently, there has been an increased interest in continuous methods for solving ill-posed problems, which amount to the solution of the Cauchy problem for a differential equation of some order.