Böcker av H.T. Banks

This work presents functional analysis as a tool for understanding and treating distributed parameter systems. Drawing on his extensive research and teaching from the past 20 years, the author explains how functional analysis can be the basis of modern PDE and DDE techniques. He covers many recent applications of functional analysis in HIV models, noncooperative games, structured population models, electromagnetic materials, delay systems, and control and inverse problems. He also addresses computational aspects of select problems/applications.

The research detailed in this monograph was originally motivated by our interest in control problems involving partial and delay differential equations.

This work presents functional analysis as a tool for understanding and treating distributed parameter systems. Drawing on his extensive research and teaching from the past 20 years, the author explains how functional analysis can be the basis of modern PDE and DDE techniques. He covers many recent applications of functional analysis in HIV models, noncooperative games, structured population models, electromagnetic materials, delay systems, and control and inverse problems. He also addresses computational aspects of select problems/applications.

Exploring what mathematics can reveal about applications, this book focuses on the design of appropriate experiments to validate the development of mathematical models. It guides students through the modeling process, from empirical observations and formalization of properties to model analysis and interpretation of results.