General Cauchy–Lipschitz theory for Δ-Cauchy problems with Carathéodory dynamics on time scales
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Publication:2941704
DOI10.1080/10236198.2013.862358zbMath1319.34158OpenAlexW2034071542MaRDI QIDQ2941704
Publication date: 24 August 2015
Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10236198.2013.862358
Discrete version of topics in analysis (39A12) Difference equations, scaling ((q)-differences) (39A13) Dynamic equations on time scales or measure chains (34N05)
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Cites Work
- Unnamed Item
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- Complex discrete dynamics from simple continuous population models
- Analysis on measure chains - a unified approach to continuous and discrete calculus
- Weak solutions for the dynamic Cauchy problem in Banach spaces
- Weak maximum principle and accessory problem for control problems on time scales
- On existence of optimal control governed by a class of the first-order linear dynamic systems on time scales
- Basic calculus on time scales and some of its applications
- Integration on time scales.
- Existence and comparison results for dynamic systems on a time scale
- An application of time scales to economics
- Noether's theorem on time scales
- Expression of the Lebesgue \(\Delta\)-integral on time scales as a usual Lebesgue integral; application to the calculus of \(\Delta\)-antiderivatives
- Inequalities on Time Scales: A Survey
- Pontryagin Maximum Principle for Finite Dimensional Nonlinear Optimal Control Problems on Time Scales
- Existence of solutions of the dynamic Cauchy problem on infinite time scale intervals
- Simple mathematical models with very complicated dynamics
- Time scale embedding theorem and coercivity of quadratic functionals
- Criterions for absolute continuity on time scales
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