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  • Mutational analysis [Elektronski vir] : a joint framework for cauchy problems in and beyond vector spaces
    Lorenz, Thomas, Dr
    Annotation. 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.
    Vrsta gradiva - e-knjiga
    Založništvo in izdelava - Berlin : Springer, 2010
    Jezik - angleški
    ISBN - 978-3-642-12471-6; 3-642-12471-2; 3-642-12470-4; 978-3-642-12470-9
    COBISS.SI-ID - 1542435295

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