|
Showing 1 - 2 of
2 matches in All Departments
This research monograph gives a detailed account of a theory which
is mainly concerned with certain classes of degenerate differential
operators, Markov semigroups and approximation processes. These
mathematical objects are generated by arbitrary Markov operators
acting on spaces of continuous functions defined on compact convex
sets; the study of the interrelations between them constitutes one
of the distinguishing features of the book. Among other things,
this theory provides useful tools for studying large classes of
initial-boundary value evolution problems, the main aim being to
obtain a constructive approximation to the associated positive
C0-semigroups by means of iterates of suitable positive
approximating operators. As a consequence, a qualitative analysis
of the solutions to the evolution problems can be efficiently
developed. The book is mainly addressed to research mathematicians
interested in modern approximation theory by positive linear
operators and/or in the theory of positive C0-semigroups of
operators and evolution equations. It could also serve as a
textbook for a graduate level course.
Ulam Stability of Operators presents a modern, unified, and
systematic approach to the field. Focusing on the stability of
functional equations across single variable, difference equations,
differential equations, and integral equations, the book collects,
compares, unifies, complements, generalizes, and updates key
results. Whenever suitable, open problems are stated in
corresponding areas. The book is of interest to researchers in
operator theory, difference and functional equations and
inequalities, differential and integral equations.
|
You may like...
Loot
Nadine Gordimer
Paperback
(2)
R398
R330
Discovery Miles 3 300
|