000 | 03818nam a22005655i 4500 | ||
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001 | 978-3-642-12471-6 | ||
003 | DE-He213 | ||
005 | 20190213151724.0 | ||
007 | cr nn 008mamaa | ||
008 | 100601s2010 gw | s |||| 0|eng d | ||
020 |
_a9783642124716 _9978-3-642-12471-6 |
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024 | 7 |
_a10.1007/978-3-642-12471-6 _2doi |
|
050 | 4 | _aQA299.6-433 | |
072 | 7 |
_aPBK _2bicssc |
|
072 | 7 |
_aMAT034000 _2bisacsh |
|
072 | 7 |
_aPBK _2thema |
|
082 | 0 | 4 |
_a515 _223 |
100 | 1 |
_aLorenz, Thomas. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
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. |
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300 |
_aXIV, 509 p. 57 illus. in color. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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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 | _aGlobal analysis (Mathematics). | |
650 | 0 | _aMathematics. | |
650 | 0 | _aDifferentiable dynamical systems. | |
650 | 0 | _aDifferential Equations. | |
650 | 0 | _aDifferential equations, partial. | |
650 | 0 | _aSystems theory. | |
650 | 1 | 4 |
_aAnalysis. _0http://scigraph.springernature.com/things/product-market-codes/M12007 |
650 | 2 | 4 |
_aReal Functions. _0http://scigraph.springernature.com/things/product-market-codes/M12171 |
650 | 2 | 4 |
_aDynamical Systems and Ergodic Theory. _0http://scigraph.springernature.com/things/product-market-codes/M1204X |
650 | 2 | 4 |
_aOrdinary Differential Equations. _0http://scigraph.springernature.com/things/product-market-codes/M12147 |
650 | 2 | 4 |
_aPartial Differential Equations. _0http://scigraph.springernature.com/things/product-market-codes/M12155 |
650 | 2 | 4 |
_aSystems Theory, Control. _0http://scigraph.springernature.com/things/product-market-codes/M13070 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783642124709 |
776 | 0 | 8 |
_iPrinted edition: _z9783642124723 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1996 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-642-12471-6 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
999 |
_c11659 _d11659 |