ANALYTIC FIRST INTEGRALS OF NON-LINEAR PARABOLIC SYSTEMS OF DIFFERENTIAL EQUATIONS IN THE SENSE OF PETROVSKII, AND APPLICATIONS

1974 ◽  
Vol 29 (2) ◽  
pp. 124-157 ◽  
Author(s):  
M I Vishik ◽  
A V Fursikov
Keyword(s):  
Differential Equations ◽  
Parabolic Systems ◽  
First Integrals ◽  
Systems Of Differential Equations ◽  
Analytic First Integrals ◽  
Non Linear

Rings of constants of four-variable Lotka-Volterra systems

2013 ◽  
Vol 11 (11) ◽  
Author(s):  
Janusz Zieliński
Keyword(s):  
Differential Equations ◽  
Laser Physics ◽  
Plasma Physics ◽  
Characteristic Zero ◽  
Population Biology ◽  
First Integrals ◽  
Full Description ◽  
Systems Of Differential Equations ◽  
Volterra Systems

AbstractLotka-Volterra systems appear in population biology, plasma physics, laser physics and derivation theory, among many others. We determine the rings of constants of four-variable Lotka-Volterra derivations with four parameters C 1, C 2, C 3, C 4 ∈ k, where k is a field of characteristic zero. Thus, we give a full description of polynomial first integrals of the respective systems of differential equations.

Sign in / Sign up

Export Citation Format

Share Document