Mutational Analysis [[electronic resource] ] : A Joint Framework for Cauchy Problems in and Beyond Vector Spaces / / by Thomas Lorenz

• Autore: Lorenz Thomas
• Pubblicazione: Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2010
• Edizione: 1st ed. 2010.
• Descrizione fisica: 1 online resource (XIV, 509 p. 57 illus. in color.)
• Disciplina: 515.35
• Soggetto topico: Mathematical analysis; Analysis (Mathematics); Functions of real variables; Dynamics; Ergodic theory; Differential equations; Partial differential equations; System theory; Analysis; Real Functions; Dynamical Systems and Ergodic Theory; Ordinary Differential Equations; Partial Differential Equations; Systems Theory, Control
• Classificazione: 34A6034G1035K2049J5360H2093B03
• Note generali: Bibliographic Level Mode of Issuance: Monograph
• Nota di bibliografia: Includes bibliographical references (p. 497-503) and indexes.
• Nota di contenuto: 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.
• Sommario/riassunto: 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.
• Titolo autorizzato: Mutational analysis
• ISBN: 1-280-39175-8; 9786613569677; 3-642-12471-2
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 996466494803316
• Lo trovi qui: Univ. di Salerno
• Serie: Lecture Notes in Mathematics, . 0075-8434 ; ; 1996