Mutational Analysis A Joint Framework for Cauchy Problems in and Beyond Vector Spaces /

• Main Author: Lorenz, Thomas (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
• Series: Lecture Notes in Mathematics, 1996
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Dynamics.; Ergodic theory.; Differential equations.; Partial differential equations.; Functions of real variables.; System theory.; Analysis.; Real Functions.; Dynamical Systems and Ergodic Theory.; Ordinary Differential Equations.; Partial Differential Equations.; Systems Theory, Control.

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 s...

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.