A view of dynamic derivatives on time scales from approximations

DOI10.1080/10236190412331312431zbMath1088.39016OpenAlexW2058769514MaRDI QIDQ4659933

Qin Sheng

Publication date: 21 March 2005

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190412331312431

zbMATH Keywords

difference equationsnumerical comparisonstime scaledynamic derivativesnumerical approximation of solutionsscaling \(q\)-differences

Mathematics Subject Classification ID

Related Items (10)

On the polydynamics of nonlinear systems on a time scale ⋮ Notes on the diamond-\(\alpha\) dynamic derivative on time scales ⋮ ⋄_α-Measurability and combined measure theory on time scales ⋮ Risk aversion and risk vulnerability in the continuous and discrete case ⋮ Hybrid approximations via second-order crossed dynamic derivatives with the \(\diamondsuit _\alpha \) derivative ⋮ Lebesgue-Stieltjes combined \(\Diamond_\alpha\)-measure and integral on time scales ⋮ Unnamed Item ⋮ The factorization of the (q,h)-difference operators ⋮ Elements of the theory of stability of hybrid systems (review) ⋮ Positive solution to a singular \(p\)-Laplacian BVP with sign-changing nonlinearity involving derivative on time scales

Cites Work

• Unnamed Item
• An exploration of combined dynamic derivatives on time scales and their applications
• First and second order linear dynamic equations on time scales
• Boundedness and oscillation for nonlinear dynamic equations on a time scale
• Solving Degenerate Reaction-Diffusion Equations via Variable Step Peaceman--Rachford Splitting
• POSITIVE SEMIDEFINITENESS OF DISCRETE QUADRATIC FUNCTIONALS

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