Differential equations in Banach space and it's approximation.
S. Piskarev

     More than 16 years have passed since the fundamental survey (Vasiliev V., Krein S. and Piskarev S.) was prepared, which, as the author intended, should be the first part of a large work devoted to abstract differential equations and methods for their solution. The second part have appeared about 4 years ago as

Vasiliev V., Piskarev S. . This book contains numerical analysis for differential equations in Banach spaces. It is addressed to students and scientists working in the area of semigroups of operators and approximation of resolution families of operators.