Mutational Analysis : A Joint Framework for Cauchy Problems in and Beyond Vector Spaces

Ordinary differential equations play a central role in science and have been extended to evolution equations in Banach spaces. For many applications, however, it is difficult to specify a suitable normed vector space. Shapes without a priori restrictions, for example, do not have an obvious linear s...

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Библиографические подробности
Главный автор: Lorenz, Thomas, 1974-
Формат: Livre numérique
Язык:Anglais
Опубликовано: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Редактирование:1st ed. 2010.
Серии:Lecture Notes in Mathematics 1996
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Примечание: L'impression du document génère 523 p.
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Edition sous un autre format:• Mutational analysis, a joint framework for Cauchy problems in and beyond vector spaces, Thomas Lorenz, Berlin, Springer, 2010, 1 vol. (XIV-509 p.), Lecture notes in mathematics, 978-3-642-12470-9
Оглавление:
  • Extending Ordinary Differential Equations to Metric Spaces: Aubin's Suggestion Adapting Mutational Equations to Examples in Vector Spaces: Local Parameters of Continuity Less Restrictive Conditions on Distance Functions: Continuity Instead of Triangle Inequality Introducing Distribution-Like Solutions to Mutational Equations Mutational Inclusions in Metric Spaces.