Set-Valued Analysis"An elegantly written, introductory overview of the field, with a near perfect choice of what to include and what not, enlivened in places by historical tidbits and made eminently readable throughout by crisp language. It has succeeded in doing the near-impossible—it has made a subject which is generally inhospitable to nonspecialists because of its ‘family jargon’ appear nonintimidating even to a beginning graduate student." —The Journal of the Indian Institute of Science "The book under review gives a comprehensive treatment of basically everything in mathematics that can be named multivalued/set-valued analysis. It includes...results with many historical comments giving the reader a sound perspective to look at the subject...The book is highly recommended for mathematicians and graduate students who will find here a very comprehensive treatment of set-valued analysis." —Mathematical Reviews "I recommend this book as one to dig into with considerable pleasure when one already knows the subject...‘Set-Valued Analysis’ goes a long way toward providing a much needed basic resource on the subject." —Bulletin of the American Mathematical Society "This book provides a thorough introduction to multivalued or set-valued analysis...Examples in many branches of mathematics, given in the introduction, prevail [upon] the reader the indispensability [of dealing] with sequences of sets and set-valued maps...The style is lively and vigorous, the relevant historical comments and suggestive overviews increase the interest for this work...Graduate students and mathematicians of every persuasion will welcome this unparalleled guide to set-valued analysis." —Zentralblatt Math |
From inside the book
Results 1-5 of 21
... Differential Inclusions 10.2.2 Lyapunov Functions • 10.2.3 Tracking a Differential Inclusion 353 355 358 360 364 365 . 369 372 .373 376 • . 379 383 . 387 388 • 389 392 • 393 394 · • 395 . 395 398 10.3 Nonlinear Semi - Groups 399 10.4 ...
... differential equations x ′ ( t ) = f ( x ( t ) , u ( t ) ) where u ( t ) € U ( x ( t ) ) is actually governed by the differential inclusion x ' ( t ) = F ( x ( t ) ) 6. Optimization provides examples of problems where uniqueness of the ...
... differential calculus , when Pierre de Fermat introduced in the first half ... differential calculus , including chain rules . With such derivatives of set ... inclusion ( Lyapunov property . ) The set - valued approach indicates the ...
... inclusion ) along a solution . Hence , we cannot escape the burden of studying measurable maps , which are the maps whose graphs are measurable , and checking in particular that all ... DIFFERENTIAL INCLUSIONS. 12 Introduction 40441_12.pdf.
... DIFFERENTIAL INCLUSIONS Control Theory on one hand , and the evolution of macro- systems under uncertainty on the other hand , constitute very strong motivations for extending differential and partial dif- ferential equations to ...