Recent Submissions

• Explicit general solution of planar linear discrete systems with constant coefficients and weak delays ﻿

(Springer Nature, 2013-03-06)
In this paper, planar linear discrete systems with constant coefficients and two delays $$x(k+1)=Ax(k)+Bx(k-m)+Cx(k-n)$$ are considered where $k\in\bZ_0^{\infty}:=\{0,1,\dots,\infty\}$, $x\colon \bZ_0^{\infty}\to\mathbb{R}^2$, ...
• Discrete matrix delayed exponential for two delays and its property ﻿

(Springer Nature, 2013-06-13)
In recent papers, a discrete matrix delayed exponential for a single delay was defined and its main property connected with the solution of linear discrete systems with a single delay was proved. In the present paper, a ...
• Automorphisms of Ordinary Differential Equations ﻿

(Hindawi Publishing Corporation, 2014-01-29)
The paper deals with the local theory of internal symmetries of underdetermined systems of ordinary differential equations in full generality. The symmetries need not preserve the choice of the independent variable, the ...