Mutational analysis : a joint framework for Cauchy problems in and beyond vector spaces
Author(s)
Bibliographic Information
Mutational analysis : a joint framework for Cauchy problems in and beyond vector spaces
（Lecture notes in mathematics, 1996）
Springer, c2010
Available at 49 libraries
Note
Bibliography: p. 497-503
Includes index
Description and Table of Contents
Description
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.
Table of Contents
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.
by "Nielsen BookData"