Asymptotic expansions and analytic dynamic equations

DOI10.1002/zamm.200410219zbMath1092.39002OpenAlexW2110522438MaRDI QIDQ5468999

Donald A. Lutz, Martin J. Bohner

Publication date: 16 May 2006

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.200410219

zbMATH Keywords

asymptotic expansiondynamic equationtime scalegrowth conditiondichotomy conditionperturbation result

Mathematics Subject Classification ID

Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (10)

Asymptotic behavior of solutions of forced third-order dynamic equations ⋮ Robust stability for implicit dynamic equations with causal operators on time scales ⋮ Delay equations on time scales: Essentials and asymptotics of the solutions ⋮ On dynamical systems with nabla half derivative on time scales ⋮ Bilinear state systems on an unbounded time scale ⋮ The convolution on time scales ⋮ Volterra theory on time scales ⋮ Constrained local controllability of dynamic systems on time scales ⋮ Analytic Functions on Time Scales ⋮ Linear perturbations of a nonoscillatory second-order dynamic equation

Cites Work

• Analysis on measure chains - a unified approach to continuous and discrete calculus
• Basic calculus on time scales and some of its applications
• Normal forms of ``near similarity transformations and linear matrix equations
• Unnamed Item

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