Existence of a solution of discrete Emden-Fowler equation caused by continuous equation

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článek v časopise v databázi Web of Science
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Abstract. The paper studies the asymptotic behaviour of solutions to a second-order non-linear discrete equation of Emden–Fowler type. Unlike the classical Emden–Fowler differential equation of second-order, the discrete analog does not have an exact solution of a power-type function. It is proved that in some cases a power-type function describes a solution of discrete equation.

Klíčová slova
Discrete Emden–Fowler equation
exact solution
formal solution
asymptotic behavior.