Algebraic structure of space and field
We investigate an algebraic structure of the space of solutions of autonomous nonlinear differential equations of certain type. It is shown that for these equations infinitely many binary algebraic laws of addition of solutions exist. We extract commutative and conjugate commutative groups which lea...
Main Authors: | Z. Z. Khukhunashvili, Z. V. Khukhunashvili |
---|---|
Format: | Article |
Language: | English |
Published: |
University of Szeged
2001-01-01
|
Series: | Electronic Journal of Qualitative Theory of Differential Equations |
Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=85 |
Similar Items
-
Addendum to Alternative analysis generated by a differential equation
by: Z. Z. Khukhunashvili, et al.
Published: (2004-03-01) -
Alternative analysis generated by a differential equation
by: Z. Z. Khukhunashvili, et al.
Published: (2003-01-01) -
Clifford algebra-based structure filtering analysis for geophysical vector fields
by: Z. Yu, et al.
Published: (2013-07-01) -
Effect Algebras of Positive Self-adjoint Operators Densely Defined on Hilbert Spaces
by: Z. Riečanová
Published: (2011-01-01) -
Riemann type algebraic structures and their differential-algebraic integrability analysis
by: A. K. Prykarpatsky, et al.
Published: (2013-01-01)