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Topics in abstract differential equations Book

Topics in abstract differential equations
Topics in abstract differential equations, 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 o, Topics in abstract differential equations has a rating of 3.5 stars
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Topics in abstract differential equations, 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 o, Topics in abstract differential equations
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  • Topics in abstract differential equations
  • Written by author S. Zaidman
  • Published by Harlow, Essex, England : Longman Scientific & Technical ; 1994-1995., 1994/04/01
  • 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 o
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Preface
I The Cauchy problem for some singular abstract differential equations 1
II Uniqueness of the Cauchy problem for some abstract differential equations 21
III Uniqueness of bounded solutions for some abstract differential equations 34
IV Miscellany (1) 45
V Miscellany (2) 76
VI Existence of asymptotically almost-periodic and of almost-automorphic solutions 94
VII Almost-periodic solutions of differential equations with diagonal operators 108
VIII Weakly almost-periodic solutions of some abstract differential equations 112
IX Mild solutions with generalized normality property 119
X Uniqueness of bounded ultraweak solutions to the equation u'(t) = a(t)Au(t) in Hilbert spaces 122
XI Existence of almost-periodic ultra-weak solutions to the equation u'(t) = a(t)Au(t) + f(t) in Hilbert spaces 125
XII A local existence result for the equation [actual symbol not reproducible] in Hilbert spaces 132
XIII Nonexistence results for the abstract Cauchy problem 142
XIV Improving regularity of ultraweak solutions 149
XV Some more properties of ultra-weak solutions 154
XVI Almost-periodic and asymptotically almost-periodic mild solutions 162
XVII Solutions of almost-periodic abstract differential equations with relatively compact range 169
XVIII A non-linear abstract differential equation with almost-periodic solution 172
XIX Solutions of abstract differential equations with minimal uniform norm 179
XX Behaviour of trajectories of C[subscript o] semigroups 183
XXI Almost-periodicity of conditionally compact solutions 187


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Topics in abstract differential equations, 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 o, Topics in abstract differential equations

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Topics in abstract differential equations, 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 o, Topics in abstract differential equations

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