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Topics in abstract differential equations

Author: Samuel Zaidman
Publisher: Harlow, Essex, England : Longman Scientific & Technical ; New York : Wiley, 1994-1995.
Series: Pitman research notes in mathematics series, 304, 321.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

Presents recent results concerning differential equations in abstract (Banach and Hilbert) spaces. Topics covered include the abstract Cauchy problem for differential equations of singular type;  Read more...

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Additional Physical Format: Online version:
Zaidman, Samuel, 1933-
Topics in abstract differential equations.
Harlow, Essex, England : Longman Scientific & Technical ; New York : Wiley, 1994-1995
(OCoLC)988563164
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Samuel Zaidman
ISBN: 0582237440 9780582237445 0582253403 9780582253407
OCLC Number: 28889830
Description: 2 volumes ; 25 cm.
Contents: I. The Cauchy problem for some singular abstract differential equations --
II. Uniqueness of the Cauchy problem for some abstract differential equations --
III. Uniqueness of bounded solutions for some abstract differential equations --
IV. Miscellany (1) --
V. Miscellany (2) --
VI. Existence of asymptotically almost-periodic and of almost-automorphic solutions --
VII. Almost-periodic solutions of differential equations with diagonal operators --
VIII. Weakly almost-periodic solutions of some abstract differential equations --
IX. Mild solutions with generalized normality property --
X. Uniqueness of bounded ultraweak solutions to the equation u'(t) = a(t)Au(t) in Hilbert spaces --
XI. Existence of almost-periodic ultra-weak solutions to the equation u'(t) = a(t)Au(t) + f(t) in Hilbert spaces --
XII. A local existence result for the equation [actual symbol not reproducible] in Hilbert spaces --
XIII. Nonexistence results for the abstract Cauchy problem --
XIV. Improving regularity of ultraweak solutions --
XV. Some more properties of ultra-weak solutions --
XVI. Almost-periodic and asymptotically almost-periodic mild solutions --
XVII. Solutions of almost-periodic abstract differential equations with relatively compact range --
XVIII. A non-linear abstract differential equation with almost-periodic solution --
XIX. Solutions of abstract differential equations with minimal uniform norm --
XX. Behaviour of trajectories of C[subscript o] semigroups --
XXI. Almost-periodicity of conditionally compact solutions.
Series Title: Pitman research notes in mathematics series, 304, 321.
Responsibility: S. Zaidman.
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