Existence of a unique bounded solution to a linear second-order difference equation and the linear first-order difference equation

DOI10.1186/s13662-017-1227-xzbMath1422.39002OpenAlexW2625841397WikidataQ59516100 ScholiaQ59516100MaRDI QIDQ1631107

Stevo Stević

Publication date: 5 December 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-017-1227-x

zbMATH Keywords

fixed point theoremsecond-order difference equationlinear first-order difference equationunique bounded solutions

Mathematics Subject Classification ID

Additive difference equations (39A10) General theory of difference equations (39A05) Growth, boundedness, comparison of solutions to difference equations (39A22)

Related Items (16)

Bounded and periodic solutions to the linear first-order difference equation on the integer domain ⋮ Some representations of the general solution to a difference equation of additive type ⋮ Solvability of a one-parameter class of nonlinear second-order difference equations by invariants ⋮ General \(k\)-dimensional solvable systems of difference equations ⋮ Two ways for solving a class of rational second-order difference equations ⋮ Asymptotic properties of solutions to discrete Volterra type equations ⋮ General solution to a higher-order linear difference equation and existence of bounded solutions ⋮ Meromorphic functions that share a polynomial with their difference operators ⋮ Representations of solutions to linear and bilinear difference equations and systems of bilinear difference equations ⋮ On some classes of solvable systems of difference equations ⋮ Representations of general solutions to some classes of nonlinear difference equations ⋮ Bounded solutions to nonhomogeneous linear second-order difference equations ⋮ Existence and global attractivity of periodic solutions to some classes of difference equations ⋮ On a solvable symmetric and a cyclic system of partial difference equations ⋮ Solvability of a general class of two-dimensional hyperbolic-cotangent-type systems of difference equations ⋮ Note on some consequences of a problem by Dellac

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