Exponential triples.

Sisto, Alessandro

Displaying similar documents to “Exponential triples.”

A new approach to the Dyson coefficients.

Pang, Sabrina X.M., Lv, Lun (2010)

The Electronic Journal of Combinatorics [electronic only]

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Asymptotic behavior of solutions of nonlinear difference equations

Janusz Migda (2004)

Mathematica Bohemica

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The nonlinear difference equation $x_{n + 1} - x_{n} = a_{n} ϕ_{n} (x_{σ (n)}) + b_{n}, (E)$ where $(a_{n}), (b_{n})$ are real sequences, $ϕ_{n} ℝ ⟶ ℝ$ , $(σ (n))$ is a sequence of integers and ${lim}_{n ⟶ \infty} σ (n) = \infty$ , is investigated. Sufficient conditions for the existence of solutions of this equation asymptotically equivalent to the solutions of the equation $y_{n + 1} - y_{n} = b_{n}$ are given. Sufficient conditions under which for every real constant there exists a solution of equation () convergent to this constant are also obtained.