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.
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भाषा अंग्रेज़ी ● स्वरूप PDF ● ISBN 9783642124716 ● प्रकाशक Springer Berlin Heidelberg ● प्रकाशित 2010 ● डाउनलोड करने योग्य 3 बार ● मुद्रा EUR ● आईडी 6321205 ● कॉपी सुरक्षा Adobe DRM
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