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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Integral equations
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Evolutionary Integral Equations and Applications (Paperback, Softcover reprint of the original 1st ed. 1993)
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Evolutionary Integral Equations and Applications (Paperback, Softcover reprint of the original 1st ed. 1993)
Series: Monographs in Mathematics, 87
Expected to ship within 10 - 15 working days
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During the last two decades the theory of abstract Volterra
equations has under gone rapid development. To a large extent this
was due to the applications of this theory to problems in
mathematical physics, such as viscoelasticity, heat conduc tion in
materials with memory, electrodynamics with memory, and to the need
of tools to tackle the problems arising in these fields. Many
interesting phenomena not found with differential equations but
observed in specific examples of Volterra type stimulated research
and improved our understanding and knowledge. Al though this
process is still going on, in particular concerning nonlinear
problems, the linear theory has reached a state of maturity. In
recent years several good books on Volterra equations have
appeared. How ever, none of them accounts for linear problems in
infinite dimensions, and there fore this part of the theory has
been available only through the - meanwhile enor mous - original
literature, so far. The present monograph intends to close this
gap. Its aim is a coherent exposition of the state of the art in
the linear theory. It brings together and unifies most of the
relevant results available at present, and should ease the way
through the original literature for anyone intending to work on
abstract Volterra equations and its applications. And it exhibits
many prob lems in the linear theory which have not been solved or
even not been considered, so far.
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