Topics in Abstract Differential Equations (Chapman & Hall/CRC Research Notes in Mathematics Series) - Hardcover

Zaidman, S D

Hardcover

ISBN 10: 0582237440 ISBN 13: 9780582237445

Publisher: Chapman and Hall/CRC, 1994

Synopsis

The theory of abstract differential equations is a new branch of operator theory and of ordinary differential equations. It is a rapidly developing area of mathematics, and this book presents new results at the forefront of research in this field. Based on the author's own work, this volume covers differential equations in abstract spaces, presenting new and some of the lesser known facts and propositions of the theory. It will be invaluable reading for postgraduate students and research workers in ordinary and partial differential equations, almost-periodic solutions, theory of semigroups of operators and evolution equations.

About this title

Synopsis

This monograph presents results concerning differential equations in abstract (Banach and Hilbert) spaces. The actual treatment of the subject is based on several of the author's papers and includes the following list of topics: the abstract Cauchy problem for differential equations of singular type; uniqueness of bounded solutions on the real line; the abstract Cauchy problem for regular differential equations; almost-periodic solutions; periodic solutions; asymptotically almost-periodic and almost-automorphic solutions; a local existence result for a non-homogeneous Sobolev equation; and regularity and regularization of weak and ultraweak solutions.

Edition details

• Publisher: Chapman and Hall/CRC
• Publication date: 1994
• Language: English
• ISBN 10: 0582237440
• ISBN 13: 9780582237445
• Binding: Hardcover
• Edition number: 1
• Number of pages: 200