Admissible Solutions of the Schwarzian Type Difference Equation

Baoqin Chen and Sheng Li

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: This paper is to investigate the Schwarzian type difference equation Δ3f/Δf-32/Δ2f/Δf2k=Rz,f=P(z,f)/Q(z,f), where R(z, f) is a rational function in f with polynomial coefficients, P(z, f), respectively Q(z, f) are two irreducible polynomials in f of degree p, respectively q. Relationship between p and q is studied for some special case. Denote d = max⁡{p, q}. Let f(z) be an admissible solution of (*) such that ρ2(f)

Date: 2014
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https://doi.org/10.1155/2014/306360

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:306360

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