zbMATH — the first resource for mathematics

Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Introduction to the theory of functional differential equations. Methods and applications. (English) Zbl 1202.34002
Contemporary Mathematics and Its Applications 3. New York, NY: Hindawi Publishing Corporation (ISBN 977-5945-49-6/hbk). ix, 314 p. (2007).

Publisher’s description: The book covers many topics in the theory of functional differential equations: key questions of the general theory, boundary value problems (both linear and nonlinear), control problems (with both classic and impulse control), stability problems, calculus of variations problems, computer-assisted techniques for studying the problems mentioned. The main feature of the book as compared to others is a very clear and unified point of view based on the authors’ concept of abstract functional differential equations (AFDEs).

The theorems of the general theory open up new opportunities for the reliable computing experiment in the study of boundary value problems as well as control problems and variational problems for square functionals in various spaces.

This book is addressed to a wide audience of scientists, post-graduate students, students, and all specialists interested in differential and functional differential equations and/or their applications.

34-02Research monographs (ordinary differential equations)
34K10Boundary value problems for functional-differential equations
34K35Functional-differential equations connected with control problems
34K30Functional-differential equations in abstract spaces
34K20Stability theory of functional-differential equations