Asymptotic Classification of Solutions of the Discrete PainlevÉ-1 Equation

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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23 pp., Latex

Scientific paper

The main subject of the paper is the so-called Discrete Painlev\'e-1 Equation
(DP1). Solutions of the DP1 are classified under criterion of their behavior
while argument tends to infinity. The appropriate theorems of existence are
proved.

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