Abstract
In this paper, we show that the following three-dimensional system of difference equations
where the parameters a, b, c, d, e, f and the initial values x−i, y−i, z−i, i ∈ {0, 1, 2}, are complex numbers, can be solved, extending further some results in the literature. Also, we determine the forbidden set of the initial values by using the obtained formulas. Finally, an application concerning a three-dimensional system of difference equations are given.
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(Communicated by Michal Fečkan)
References
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Articles in the same Issue
- Regular papers
- Algebraic structures for pairwise comparison matrices: Consistency, social choices and Arrow’s theorem
- Polynomial functions on rings of dual numbers over residue class rings of the integers
- Sufficient conditions for p-valent functions
- Upper bounds for analytic summand functions and related inequalities
- Global structure for a fourth-order boundary value problem with sign-changing weight
- On the nonexistence conditions of solution of two-point in time problem for nonhomogeneous PDE
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- Properties of critical and subcritical second order self-adjoint linear equations
- Korovkin type approximation via statistical e-convergence on two dimensional weighted spaces
- Approximation by a new sequence of operators involving Apostol-Genocchi polynomials
- Poisson like matrix operator and its application in p-summable space
- On the homological and algebraical properties of some Feichtinger algebras
- Disjoint topological transitivity for weighted translations generated by group actions
- On simultaneous limits for aggregation of stationary randomized INAR(1) processes with poisson innovations
- Marshall-Olkin Lindley-Log-logistic distribution: Model, properties and applications
- The shifted Gompertz-G family of distributions: Properties and applications
- On the testing hypothesis in uniform family of distributions with nuisance parameter
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