{"product_id":"9783642124709","title":"Lecture Notes in Mathematics: A Joint Framework for Cauchy Problems in and Beyond Vector Spaces","description":"\u003ch1\u003eLecture Notes in Mathematics: A Joint Framework for Cauchy Problems in and Beyond Vector Spaces\u003c\/h1\u003e \u003ch2\u003eLorenz, Thomas\u003c\/h2\u003e \u003cp\u003eOrdinary 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.\nThis book generalizes ordinary differential equations beyond the borders of vector spaces with a focus on the well-posed Cauchy problem in finite time intervals.\nHere are some of the examples:\n- Feedback evolutions of compact subsets of the Euclidean space\n- Birth-and-growth processes of random sets (not necessarily convex)\n- Semilinear evolution equations\n- Nonlocal parabolic differential equations\n- Nonlinear transport equations for Radon measures\n- A structured population model\n- 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.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2010-06-09\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783642124709\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-642-12471-6\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 509\u003c\/p\u003e ","brand":"Springer Berlin Heidelberg","offers":[{"title":"Default Title","offer_id":45369807765644,"sku":"9783642124709","price":49.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783642124709.jpg?v=1775675271","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783642124709","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}