On asymptotic summation of potentially oscillatory difference systems

DOI10.1016/J.JMAA.2006.07.098zbMath1123.39003OpenAlexW1991131609MaRDI QIDQ879048

Harry Gingold, Fei Xue

Publication date: 4 May 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.07.098

zbMATH Keywords

singular perturbationfundamental solutionalmost diagonalasymptotic summationsystems of linear difference equationsoscillatory difference equations

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Discrete version of topics in analysis (39A12) Singular perturbations for ordinary differential equations (34E15)

Related Items (1)

On asymptotic summations of almost diagonal difference systems and their applications

Cites Work

• Asymptotic behavior of solutions of dynamic equations
• On the asymptotic integration of linear differential systems
• A unified theory of asymptotic integration
• Adiabatic theorem without a gap condition
• Asymptotic solutions and error estimates for linear systems of difference and differential equations.
• Asymptotic diagonalization of linear difference equations^*
• Almost diagonal systems of linear difference equations
• Asymptotic Representation of Solutions of Perturbed Systems of Linear Difference Equations
• Asyptotics for linear difference equations I:basic theory
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