Characterization of P-Semi Homogenous System of Difference Equations
Keywords:Difference equation, homogenous system, semi-homogenous, P-semi-homogenous
The primary aim of this paper is to define new concepts of systems of difference equations. For A homogenous system x(n+1)=Ax(n) of difference equations, we define P-semi-homogenous of order and adjoint. This definition is generalized to (2x2)-semi-homogeneous system of difference equations of order, where is a positive integer number. We study all special cases of this definition and give some examples. Also, we give some characterizations of those definitions, the necessary and sufficient conditions for a homogenous system of difference Equations to be P-semi homogenous of order one or greater than one is given in theorems, as well as some examples and theorems.
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