Asymptotic Behavior of the Solutions of the Difference Equationf(xn-1)

DOI10.1080/1023619021000056329zbMath1045.39006OpenAlexW1549661364MaRDI QIDQ4444933

George L. Karakostas

Publication date: 28 January 2004

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/1023619021000056329

zbMATH Keywords

asymptotic propertiesdifference equationsnonnegative solutionsrational recursive sequence

Mathematics Subject Classification ID

Related Items (14)

Long-term behavior of positive solutions of a system of max-type difference equations ⋮ On positive solutions of some classes of max-type systems of difference equations ⋮ Boundedness character of the recursive sequence \(x_n=\alpha + \Pi_{j = 1}^k x_{n - j}^{a_j}\) ⋮ Unique existence of bounded continuous solutions on the real line of a class of nonlinear functional equations with complicated deviations ⋮ On continuous solutions of a class of systems of nonlinear functional difference equations with deviating argument ⋮ On a solvable system of difference equations of \(k\)th order ⋮ Sharp Boundedness Conditions for a Difference Equation via the Chebyshev Polynomials ⋮ Difference equations and nonexistence of solutions of an integral equation ⋮ Application of difference equations in divisibility ⋮ On a nonlinear second order system of difference equations ⋮ On a cyclic system of difference equations ⋮ On a solvable system of rational difference equations ⋮ On a class of third-order nonlinear difference equations ⋮ On a class of solvable higher-order difference equations

Cites Work

• Unnamed Item
• On the rational recursive sequence \(x_{n+1}= \frac {bx_n^2} {1+x_{n-1}^2}\)

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