Integral inequalities and their applications to the calculus of variations on Time Scales
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Publication:3570010
DOI10.7153/mia-13-35zbMath1190.26015arXiv1001.3762OpenAlexW1971464331MaRDI QIDQ3570010
Delfim F. M. Torres, Rui A. C. Ferreira, Martin J. Bohner
Publication date: 23 June 2010
Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1001.3762
optimal controltime scalesJensen's inequalitycalculus of variationsglobal minimizersintegral inequalities
Additive difference equations (39A10) Inequalities for sums, series and integrals (26D15) Optimality conditions for free problems in one independent variable (49K05)
Related Items (14)
Hermite-Hadamard type integral inequalities for the class of strongly convex functions on time scales ⋮ Unnamed Item ⋮ Optimality conditions for the calculus of variations with higher-order delta derivatives ⋮ Discrete-time fractional variational problems ⋮ Some delay integral inequalities on time scales and their applications in the theory of dynamic equations ⋮ Transversality conditions for infinite horizon variational problems on time scales ⋮ Generalizing the variational theory on time scales to include the delta indefinite integral ⋮ Explicit bounds to some new Gronwall-Bellman-type delay integral inequalities in two independent variables on time scales ⋮ A general backwards calculus of variations via duality ⋮ Linear programming problems on time scales ⋮ The diamond integral on time scales ⋮ A note on integral inequalities on time scales associated with Ostrowski's type ⋮ The second Noether theorem on time scales ⋮ Delta-nabla optimal control problems
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