Functional Methods in Differential Equations

1st Edition

Veli-Matti Hokkanen, Gheorghe Morosanu

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Chapman and Hall/CRC
Published April 26, 2002
Reference - 264 Pages - 1 B/W Illustrations
ISBN 9781420035360 - CAT# CE2832
Series: Chapman & Hall/CRC Research Notes in Mathematics Series

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Summary

In recent years, functional methods have become central to the study of theoretical and applied mathematical problems. As demonstrated in this Research Note, functional methods can not only provide more generality, but they can also unify results and techniques and lead to better results than those obtained by classical methods.

Presenting entirely original results, the authors use functional methods to explore a broad range of elliptic, parabolic, and hyperbolic boundary value problems and various classes of abstract differential and integral equations. They show that while it is crucial to choose an appropriate functional framework, this approach can lead to mathematical models that better describe concrete physical phenomena. In particular, they reach a concordance between the physical sense and the mathematical sense for the solutions of some special models. Beyond its importance as a survey of the primary techniques used in the area, the results illuminated in this volume will prove valuable in a wealth of interesting applications

Readership: This volume will be of interest to pure and applied mathematicians, engineers, and physicists.

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