Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis
|
Buy Now
Handbook of Multivalued Analysis - Volume II: Applications (Hardcover, 2000 ed.)
Loot Price: R4,724
Discovery Miles 47 240
|
|
Handbook of Multivalued Analysis - Volume II: Applications (Hardcover, 2000 ed.)
Series: Mathematics and Its Applications, 500
Expected to ship within 10 - 15 working days
|
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."
General
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!
|
|
Email address subscribed successfully.
A activation email has been sent to you.
Please click the link in that email to activate your subscription.