Notes on the diamond-\(\alpha\) dynamic derivative on time scales

DOI10.1016/j.jmaa.2006.03.004zbMath1114.26003OpenAlexW1966595121MaRDI QIDQ860934

James W. jun. Rogers, Qin Sheng

Publication date: 9 January 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.2006.03.004

zbMATH Keywords

approximationsdynamic equationscombined formulanonuniform time scales

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Additive difference equations (39A10)

Related Items (36)

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Cites Work

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• Analysis on measure chains - a unified approach to continuous and discrete calculus
• An exploration of combined dynamic derivatives on time scales and their applications
• On Green's functions and positive solutions for boundary value problems on time scales
• Numerical simulation of two-dimensional sine-Gordon solitons via a split cosine scheme
• Modified arc-length adaptive algorithms for degenerate reaction-diffusion equations.
• On the numerical solution of the sine-Gordon equation. I: Integrable discretizations and homoclinic manifolds
• A qualitative analysis on nonconstant graininess of the adaptive grids via time scales
• A view of dynamic derivatives on time scales from approximations
• A Class of Methods for Solving Nonlinear Simultaneous Equations

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