UID:
almahu_9947363901002882
Format:
XIV, 509 p. 57 illus. in color.
,
online resource.
ISBN:
9783642124716
Series Statement:
Lecture Notes in Mathematics, 1996
Content:
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 structure. This book generalizes ordinary differential equations beyond the borders of vector spaces with a focus on the well-posed Cauchy problem in finite time intervals. Here are some of the examples: - Feedback evolutions of compact subsets of the Euclidean space - Birth-and-growth processes of random sets (not necessarily convex) - Semilinear evolution equations - Nonlocal parabolic differential equations - Nonlinear transport equations for Radon measures - A structured population model - Stochastic differential equations with nonlocal sample dependence and how they can be coupled in systems immediately - due to the joint framework of Mutational Analysis. Finally, the book offers new tools for modelling.
Note:
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.
In:
Springer eBooks
Additional Edition:
Printed edition: ISBN 9783642124709
Language:
English
Subjects:
Mathematics
Keywords:
Hochschulschrift
;
Hochschulschrift
DOI:
10.1007/978-3-642-12471-6
URL:
http://dx.doi.org/10.1007/978-3-642-12471-6
URL:
Volltext
(lizenzpflichtig)
