000 03336nam a22005655i 4500
001 978-3-642-12471-6
003 DE-He213
005 20140220084535.0
007 cr nn 008mamaa
008 100601s2010 gw | s |||| 0|eng d
020 _a9783642124716
_9978-3-642-12471-6
024 7 _a10.1007/978-3-642-12471-6
_2doi
050 4 _aQA299.6-433
072 7 _aPBK
_2bicssc
072 7 _aMAT034000
_2bisacsh
082 0 4 _a515
_223
100 1 _aLorenz, Thomas.
_eauthor.
245 1 0 _aMutational Analysis
_h[electronic resource] :
_bA Joint Framework for Cauchy Problems in and Beyond Vector Spaces /
_cby Thomas Lorenz.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2010.
300 _aXIV, 509p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1996
505 0 _aExtending 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.
520 _aOrdinary 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.
650 0 _aMathematics.
650 0 _aGlobal analysis (Mathematics).
650 0 _aDifferentiable dynamical systems.
650 0 _aDifferential Equations.
650 0 _aDifferential equations, partial.
650 0 _aBiology
_xMathematics.
650 0 _aSystems theory.
650 1 4 _aMathematics.
650 2 4 _aAnalysis.
650 2 4 _aDynamical Systems and Ergodic Theory.
650 2 4 _aOrdinary Differential Equations.
650 2 4 _aPartial Differential Equations.
650 2 4 _aSystems Theory, Control.
650 2 4 _aMathematical Biology in General.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642124709
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1996
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-12471-6
912 _aZDB-2-SMA
912 _aZDB-2-LNM
999 _c112084
_d112084