General solution to a higher-order linear difference equation and existence of bounded solutions
From MaRDI portal
Publication:1710154
DOI10.1186/S13662-017-1432-7zbMath1444.39003OpenAlexW2775737164WikidataQ59517155 ScholiaQ59517155MaRDI QIDQ1710154
Publication date: 15 January 2019
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-017-1432-7
contraction mapping principlegeneral solutionlinear difference equationexistence of bounded solutions
Growth, boundedness, comparison of solutions to difference equations (39A22) Linear difference equations (39A06)
Related Items (2)
Closed‐form solutions of second‐order linear difference equations close to the self‐adjoint Euler type ⋮ Asymptotic properties of solutions to discrete Volterra type equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On a product-type system of difference equations of second order solvable in closed form
- On the existence of solutions of linear Volterra difference equations asymptotically equivalent to a given sequence
- On the difference equation \(x_{n+1} = x_nx_{n-k}/(x_{n-k+1}(a + bx_nx_{n-k}))\)
- On the difference equation \(x_n = a_nx_{n-k}/(b_n + c_nx_{n-1} \cdots x_{n-k})\)
- On some systems of difference equations
- Eventually constant solutions of a rational difference equation
- Existence of a unique bounded solution to a linear second-order difference equation and the linear first-order difference equation
- On some solvable difference equations and systems of difference equations
- Bounded solutions to nonhomogeneous linear second-order difference equations
- On a \(k\)-order system of Lyness-type difference equations
- Asymptotic Behavior of the Solutions of the Second Order Difference Equation
- On Impulsive Beverton-Holt Difference Equations and their Applications
- Invariants for systems of two nonlinear difference equations
- Invariants and oscillation for systems of two nonlinear difference equations
This page was built for publication: General solution to a higher-order linear difference equation and existence of bounded solutions