A direct algorithm to compute rational solutions of first order linear q-difference systems
نویسندگان
چکیده
منابع مشابه
STUDYING THE BEHAVIOR OF SOLUTIONS OF A SECOND-ORDER RATIONAL DIFFERENCE EQUATION AND A RATIONAL SYSTEM
In this paper we investigate the behavior of solutions, stable and unstable of the solutions a second-order rational difference equation. Also we will discuss about the behavior of solutions a the rational system, we show these solutions may be stable or unstable.
متن کاملAn algorithm to compute Liouvillian solutions of prime order linear difference-differential equations
A normal form is given for integrable linear difference-differential equations {σ(Y ) = AY, δ(Y ) = BY }, which is irreducible over C(x, t) and solvable in terms of liouvillian solutions. We refine this normal form and devise an algorithm to compute all liouvillian solutions of such kind of systems of prime order.
متن کاملstudying the behavior of solutions of a second-order rational difference equation and a rational system
in this paper we investigate the behavior of solutions, stable and unstable of the solutions a second-order rational difference equation. also we will discuss about the behavior of solutions a the rational system, we show these solutions may be stable or unstable.
متن کاملDesingularization of First Order Linear Difference Systems with Rational Function Coefficients
It is well known that for a first order system of linear difference equationswith rational function coefficients, a solution that is holomorphic in some le half plane can be analytically continued to a meromorphic solution in the whole complex plane. e poles stem from the singularities of the rational function coefficients of the system. Just as for differential equations, not all of these si...
متن کاملOn a q-Difference Painlevé III Equation: II. Rational Solutions
where fi = fi(n; ν,N) (i = 0, 1) are dependent variables, n ∈ Z is the independent variable, ν,N ∈ Z are parameters, and q, a0, a1, c are constants. Moreover, fi and fi denote fi(n+ 1; ν,N) and fi(n− 1; ν,N), respectively. In the previous paper [6], we have discussed the derivations, symmetry and particular solutions of Riccati type of q-PIII (1.1). In this paper, we consider the rational solut...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 2002
ISSN: 0012-365X
DOI: 10.1016/s0012-365x(01)00248-5