Condensing Multivalued Maps and Semilinear Differential Inclusions in Banach Spaces

This advanced mathematical text offers a rigorous exploration of semilinear differential inclusions within infinite-dimensional spaces, presenting a specialized framework for readers already grounded in functional analysis and modern control theory. The book's primary contribution lies in its development of a theory that deliberately avoids standard simplifying assumptions, such as the convexity of set-valued maps or the compactness of multi-operators. This approach makes the material particularly relevant for tackling complex, application-oriented problems where these classical conditions fail to hold.

The work's distinctiveness stems from its deep integration with the theory of measures of noncompactness, a necessary tool for constructing solutions in this more general and challenging setting. Researchers and graduate students focused on the analytical foundations of control systems will find this an indispensable resource, as it pushes the boundaries of the existing literature. Ultimately, this book provides a sophisticated and coherent pathway for those seeking to engage with the forefront of differential inclusion theory.