It takes the average reader 15 hours and 44 minutes to read Handbook of Multivalued Analysis by Shouchuan Hu
Assuming a reading speed of 250 words per minute. Learn more
In volume I we developed the tools of "Multivalued Analysis. " In this volume we examine the applications. After all, the initial impetus for the development of the theory of set-valued functions came from its applications in areas such as control theory and mathematical economics. In fact, the needs of control theory, in particular the study of systems with a priori feedback, led to the systematic investigation of differential equations with a multi valued vector field (differential inclusions). For this reason, we start this volume with three chapters devoted to set-valued differential equations. However, in contrast to the existing books on the subject (i. e. J. -P. Aubin - A. Cellina: "Differential Inclusions," Springer-Verlag, 1983, and Deimling: "Multivalued Differential Equations," W. De Gruyter, 1992), here we focus on "Evolution Inclusions," which are evolution equations with multi valued terms. Evolution equations were raised to prominence with the development of the linear semigroup theory by Hille and Yosida initially, with subsequent im portant contributions by Kato, Phillips and Lions. This theory allowed a successful unified treatment of some apparently different classes of nonstationary linear par tial differential equations and linear functional equations. The needs of dealing with applied problems and the natural tendency to extend the linear theory to the nonlinear case led to the development of the nonlinear semigroup theory, which became a very effective tool in the analysis of broad classes of nonlinear evolution equations.
Handbook of Multivalued Analysis by Shouchuan Hu is 941 pages long, and a total of 236,191 words.
This makes it 318% the length of the average book. It also has 289% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 21 hours and 30 minutes to read Handbook of Multivalued Analysis aloud.
Handbook of Multivalued Analysis is suitable for students ages 12 and up.
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