Open AccessASYMPTOTIC BEHAVIOR OF NABLA HALF ORDER H-DIFFERENCE EQUATIONS
Author(s) -
Baoguo Jia,
Feifei Du,
Lynn Erbe,
Allan Peterson
Publication year - 2018
Publication title -
journal of applied analysis and computation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.55
H-Index - 21
eISSN - 2158-5644
pISSN - 2156-907X
DOI - 10.11948/2018.1707
Subject(s) - nabla symbol , order (exchange) , combinatorics , physics , mathematical physics , mathematics , omega , quantum mechanics , finance , economics
In this paper we study the half order nabla fractional difference equation ρ(a)∇ h x(t) = cx(t), t ∈ (hN)a+h, where ρ(a)∇ h x(t) denotes the Riemann-Liouville nabla half order h-difference of x(t). We will establish the asymptotic behavior of the solutions of this equation satisfying x(a) = A > 0 for various values of the constant c.
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