Analytic Functions on Time Scales

DOI10.1080/1726037X.2008.10698550zbMath1171.26320MaRDI QIDQ3626045

Ewa Pawłuszewicz

Publication date: 22 May 2009

Published in: Journal of Dynamical Systems and Geometric Theories (Search for Journal in Brave)

zbMATH Keywords

time scalesinitial value problempower seriesanalytic functions on time scales

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Discrete version of topics in analysis (39A12) Theoretical approximation of solutions to functional-differential equations (34K07) Functions of one variable (26A99)

Related Items (2)

Observability of nonlinear control systems on time scales ⋮ Stieltjes analytic functions and higher order linear differential equations

Cites Work

• Analysis on measure chains - a unified approach to continuous and discrete calculus
• Basic calculus on time scales and some of its applications
• Calculus of variations on time scales: Weak local piecewise \(C_{\text{rd}}^{1}\) solutions with variable endpoints.
• Transition matrix and generalized matrix exponential via the Peano-Baker series
• Higher-Order Calculus of Variations on Time Scales
• Basics of Riemann Delta and Nabla Integration on Time Scales
• Asymptotic expansions and analytic dynamic equations
• An introduction to complex functions on products of two time scales

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