Topics in Abstract Differential Equations
1st Edition
Published on 21. March 1994
Book
Hardback
200 pages
978-0-582-23744-5 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
London
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
College/higher education
Professional and scholarly
Weight
345 gr
ISBN-13
978-0-582-23744-5 (9780582237445)
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Schweitzer Classification
Person
Content
The Cauchy problem for some singular abstract differential equations; uniqueness of the Cauchy problem for some abstract differential equations; uniqueness of bounded solutions for some abstract differential equations; miscellany; existence of asymptotically almost-periodic and of almost-automorphic solutions; almost-periodic solutions of differential equations with diagonal operators; weakly almost-periodic solutions of some abstract differential equations; mild solutions with generalized normality property; uniqueness of bounded ultraweak solutions to the equation u'(t)=a(t)Au(t) in Hilbert spaces; existence of almost-periodic ultraweak solutions to the equation u'(t)=a(t)Au)t)+f(t) in Hilbert spaces; a local existence result; nonexistence results for the abstract Cauchy problem; improving regularity of ultraweak solutions; some more properties of ultraweak solutions; almost-periodic and symptotically almost-periodic mild solutions; solutions of almost-periodic abstract differential equations with relatively compact range; a non-linear abstract differential equation with almost-periodic solution; solutions of abstract differential equations with minimal uniform norm; almost-periodicity of conditionally compact solution.