A non-standard class of variational problems of Herglotz type
DOI10.3934/dcdss.2021152zbMath1485.49026OpenAlexW3217244840MaRDI QIDQ2118456
Publication date: 22 March 2022
Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdss.2021152
calculus of variationsEuler-Lagrange equationnatural boundary conditionsDubois-Reymond equationvariational problems of Herglotz type
Control/observation systems governed by functional-differential equations (93C23) Control problems involving ordinary differential equations (34H05) Optimality conditions for problems involving ordinary differential equations (49K15) Optimality conditions for free problems in one independent variable (49K05)
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Cites Work
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- Variational problems of Herglotz type with time delay: DuBois-Reymond condition and Noether's first theorem
- Noether's theorem for higher-order variational problems of Herglotz type
- Fractional variational principle of Herglotz
- Higher-order variational problems of Herglotz type
- Conservation laws of nonconservative nonholonomic system based on Herglotz variational problem
- A non-classical class of variational problems
- First Noether-type theorem for the generalized variational principle of Herglotz
- The calculus of variations
- Noether currents for higher-order variational problems of Herglotz type with time delay
- Fractional Herglotz variational problems of variable order
- Noether's theorem for fractional Herglotz variational principle in phase space
- Variational and optimal control approaches for the second-order Herglotz problem on spheres
- Second Noether-type theorem for the generalized variational principle of Herglotz
- Higher-order variational problems of Herglotz type with time delay
- Natural boundary conditions in the calculus of variations
- Generalized variational principle of Herglotz for several independent variables. First Noether-type theorem
- The Herglotz Algorithm for Constructing Canonical Transformations
- Extension of the Herglotz Algorithm to Nonautonomous Canonical Transformations
- Stability results for constrained calculus of variations problems: an analysis of the twisted elastic loop
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