Calculus of variations on time scales: Weak local piecewise \(C_{\text{rd}}^{1}\) solutions with variable endpoints.

DOI10.1016/j.jmaa.2003.09.031zbMath1043.49004OpenAlexW2073556779MaRDI QIDQ1419769

Vera Zeidan, Roman Šimon Hilscher

Publication date: 26 January 2004

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.2003.09.031

zbMATH Keywords

necessary optimality conditionssecond variationcalculus of variationsEuler-Lagrange equationfirst variationtransversality conditionweak local minimumsufficient optimality conditiontime scales dynamics

Mathematics Subject Classification ID

Existence theories for free problems in two or more independent variables (49J10) Discrete version of topics in analysis (39A12) Optimality conditions for free problems in two or more independent variables (49K10)

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