Topology in nonlinear extensions of hypernumbers
Modern theory of dynamical systems is mostly based on nonlinear differential equations and operations. At the same time, the theory of hypernumbers and extrafunctions, a novel approach in functional analysis, has been limited to linear systems. In this paper, nonlinear structures are introduced in s...
Saved in:
Main Author: | M. S. Burgin |
---|---|
Format: | Article |
Language: | English |
Published: |
Wiley
2005-01-01
|
Series: | Discrete Dynamics in Nature and Society |
Online Access: | http://dx.doi.org/10.1155/DDNS.2005.145 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
Theory of hypernumbers and extrafunctions: Functional spaces and differentiation
by: Mark Burgin
Published: (2002-01-01) -
Order extension of order monomorphisms on a preordered topological space
by: Ghanshyam Mehta
Published: (1993-01-01) -
Topological and variational methods of nonlinear analysis and their applications
by: V. G. Zvyagin, et al.
Published: (2006-01-01) -
Practical realization of chiral nonlinearity for strong topological protection
by: Xinxin Guo, Lucien Jezequel, Mathieu Padlewski, Hervé Lissek, Pierre Delplace, Romain Fleury
Published: (2025-01-01) -
A New Topological Degree Theory for Perturbations of Demicontinuous Operators and Applications to Nonlinear Equations with Nonmonotone Nonlinearities
by: Teffera M. Asfaw
Published: (2016-01-01)