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Abstract Volterra Integro-Differential Equations (Hardcover)
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Abstract Volterra Integro-Differential Equations (Hardcover)
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Total price: R5,035
Discovery Miles: 50 350
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The theory of linear Volterra integro-differential equations has
been developing rapidly in the last three decades. This book
provides an easy to read concise introduction to the theory of
ill-posed abstract Volterra integro-differential equations. A major
part of the research is devoted to the study of various types of
abstract (multi-term) fractional differential equations with Caputo
fractional derivatives, primarily from their invaluable importance
in modeling of various phenomena appearing in physics, chemistry,
engineering, biology and many other sciences. The book also
contributes to the theories of abstract first and second order
differential equations, as well as to the theories of higher order
abstract differential equations and incomplete abstract Cauchy
problems, which can be viewed as parts of the theory of abstract
Volterra integro-differential equations only in its broad sense.
The operators examined in our analyses need not be densely defined
and may have empty resolvent set. Divided into three chapters, the
book is a logical continuation of some previously published
monographs in the field of ill-posed abstract Cauchy problems. It
is not written as a traditional text, but rather as a guidebook
suitable as an introduction for advanced graduate students in
mathematics or engineering science, researchers in abstract partial
differential equations and experts from other areas. Most of the
subject matter is intended to be accessible to readers whose
backgrounds include functions of one complex variable, integration
theory and the basic theory of locally convex spaces. An important
feature of this book as compared to other monographs and papers on
abstract Volterra integro-differential equations is, undoubtedly,
the consideration of solutions, and their hypercyclic properties,
in locally convex spaces. Each chapter is further divided in
sections and subsections and, with the exception of the
introductory one, contains a plenty of exam
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