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We study the higher order difference equations of the following form ∆xn = an f (xσ(n)) + bn. We are interested in the asymptotic behavior of solutions x of the… Click to show full abstract
We study the higher order difference equations of the following form ∆xn = an f (xσ(n)) + bn. We are interested in the asymptotic behavior of solutions x of the above equation. Assuming f is a power type function and ∆yn = bn, we present sufficient conditions that guarantee the existence of a solution x such that xn = yn + o(ns), where s ≤ 0 is fixed. We establish also conditions under which for a given solution x there exists a sequence y such that ∆yn = bn and x has the above asymptotic behavior.
Keywords:
difference equations;
properties solutions;
difference;
solutions difference;
type;
asymptotic properties
Journal Title: Electronic Journal of Qualitative Theory of Differential Equations
Year Published: 2019
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Journal Title: Electronic Journal of Qualitative Theory of Differential Equations
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!