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[null,"1.","Record Nr.",null,"UNISA996466494803316"]
[null,null,"Autore",null,"Lorenz Thomas"]
[null,null,"Titolo",null,"Mutational Analysis [[electronic resource] ] : A Joint Framework for Cauchy Problems in and Beyond Vector Spaces / / by Thomas Lorenz"]
[null,null,"Pubbl/distr/stampa",null,"Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2010"]
[null,null,"ISBN",null,"1-280-39175-8"]
[{"$nulls":4},"9786613569677"]
[{"$nulls":4},"3-642-12471-2"]
[null,null,"Edizione",null,"[1st ed. 2010.]"]
[null,null,"Descrizione fisica",null,"1 online resource (XIV, 509 p. 57 illus. in color.)"]
[null,null,"Collana",null,"Lecture Notes in Mathematics, , 0075-8434 ; ; 1996"]
[null,null,"Classificazione",null,"34A6034G1035K2049J5360H2093B03"]
[null,null,"Disciplina",null,"515.35"]
[null,null,"Soggetti",null,"Mathematical analysis"]
[{"$nulls":4},"Analysis (Mathematics)"]
[{"$nulls":4},"Functions of real variables"]
[{"$nulls":4},"Dynamics"]
[{"$nulls":4},"Ergodic theory"]
[{"$nulls":4},"Differential equations"]
[{"$nulls":4},"Partial differential equations"]
[{"$nulls":4},"System theory"]
[{"$nulls":4},"Analysis"]
[{"$nulls":4},"Real Functions"]
[{"$nulls":4},"Dynamical Systems and Ergodic Theory"]
[{"$nulls":4},"Ordinary Differential Equations"]
[{"$nulls":4},"Partial Differential Equations"]
[{"$nulls":4},"Systems Theory, Control"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Bibliographic Level Mode of Issuance: Monograph"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references (p. 497-503) and indexes."]
[null,null,"Nota di contenuto",null,"Extending Ordinary Differential Equations to Metric Spaces: Aubin’s Suggestion -- Adapting Mutational Equations to Examples in Vector Spaces: Local Parameters of Continuity -- Less Restrictive Conditions on Distance Functions: Continuity Instead of Triangle Inequality -- Introducing Distribution-Like Solutions to Mutational Equations -- Mutational Inclusions in Metric Spaces."]
[null,null,null,"Sommario/riassunto","Ordinary differential equations play a central role in science and have been extended to evolution equations in Banach spaces. For many "]
[{"$nulls":4},"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."]