Dynamics of Second Order Rational Difference Equations: With Open Problems and Conjectures
By Elias Camouzis, G. Ladas. 2001
853 citations recorded by the source corpus.
Subfields: Public Health, Environmental and Occupational Health
View Paper: https://www.semanticscholar.org/paper/41e4f17b47873c7a0cab123804e309d5e2e2a805
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In Public Health, Environmental and Occupational Health
- S. Stević
- Hal L. Smith
- Elsayed M. Elsayed
- Lothar Berg
- Hassan Sedaghat
- Elias Camouzis
- Yacine Halim
- Garyfalos Papaschinopoulos
Citations in the corpus
- Dynamics of Rational Surface Automorphisms: Linear Fractional Recurrences (2006, background): “The invariant function r(x, y) = (x + y + a)(x + 1)(y + 1)/(xy) for fa,0, which defines the invariant pencil, was found by Lyness [18] (see also [8, 16, 17] and [25]).”
- On the Rational Recursive Sequence (2008, neutral): “(The linearized stability theorem; see[15,18,19]).”
- Global attractivity, I/O monotone small-gain theorems, and biological delay systems (2005, positive): “The following consequence of the above lemma generalizes this result to an arbitrary space (see also Kulenovic and Ladas [21]).”
- Asymptotic behavior of a competitive system of linear fractional difference equations (2006, background): “The closed-form solution to this equation can be obtained (see [9]).”
- Global stability for mixed monotone systems (2008, background): “This allows the extension of some results on global stability for higher order difference equations due to Gerry Ladas and collaborators.”
- QUALITATIVE BEHAVIOR OF HIGHER ORDER DIFFERENCE EQUATION (2007, background): “Theorem B.([8]) Let [a, b] be an interval of real numbers and assume that g : [a, b](3) → [a, b] is a continuous function satisfying the following properties : (a) g(x, y, z) is non-decreasing in x and y ∈ [a, b] for each z ∈ [a, b], and is non-increasing in z ∈ [a, b] for each x and y ∈ [a, b].”
- Dynamics of the Rational Difference Equation (2014, background): “may be obtained in [11, 16, 17].”
- PERIODICITY AND SOLUTIONS FOR SOME SYSTEMS OF NONLINEAR RATIONAL DIFFERENCE EQUATIONS (2015, background): “The reader can nd in the following books [1, 29, 30], and the works cited therein, many results, applications, and open problems on higher-order equations and rational systems.”