Composition functionals in higher order calculus of variations and Noether's theorem

DOI10.1080/00036811.2021.1921159zbMath1503.49002OpenAlexW3159478004MaRDI QIDQ5038091

Ricardo Almeida, J. Vanterler da Costa Sousa, Gastão S. F. Frederico

Publication date: 29 September 2022

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2021.1921159

zbMATH Keywords

Euler-Lagrange equationsexistence and uniquenessDuBois-Reymond conditionshigher-order Noether's theorem

Mathematics Subject Classification ID

Fréchet and Gateaux differentiability in optimization (49J50) Existence theories for free problems in two or more independent variables (49J10) Optimality conditions for problems involving ordinary differential equations (49K15) Lagrange's equations (70H03) Euler equations (35Q31)

Cites Work

• Noether's theorem for higher-order variational problems of Herglotz type
• Fractional Noether's theorem with classical and Caputo derivatives: constants of motion for non-conservative systems
• Calculus of variations on time scales with nabla derivatives
• The second Euler-Lagrange equation of variational calculus on time scales
• Fractional Noether's theorem in the Riesz-Caputo sense
• Euler-Lagrange equations for composition functionals in calculus of variations on time scales
• Necessary and sufficient conditions for the fractional calculus of variations with Caputo derivatives
• Existence and regularity in the small in the calculus of variations
• Calculus of variations with fractional derivatives and fractional integrals
• A formulation of Noether's theorem for fractional problems of the calculus of variations
• Functional analysis, Sobolev spaces and partial differential equations
• A dual form of Noether's theorem with applications to continuum mechanics
• The Euler-Lagrange differential inclusion
• The calculus of variations
• Calculus of variations on time scales: applications to economic models
• Applications of Noether conservation theorem to Hamiltonian systems
• Noether's symmetry theorem for variational and optimal control problems with time delay
• Fractional Euler-Lagrange equations revisited
• The DuBois-Reymond fundamental lemma of the fractional calculus of variations and an Euler-Lagrange equation involving only derivatives of Caputo
• A Regularity Theory for Variational Problems with Higher Order Derivatives
• COMPOSITION FUNCTIONALS IN CALCULUS OF VARIATIONS: APPLICATION TO PRODUCTS AND QUOTIENTS
• Application of Noether's theorem to the transport equation
• Noether’s theorem for non-smooth extremals of variational problems with time delay
• Variational problems with fractional derivatives: Euler–Lagrange equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Composition functionals in higher order calculus of variations and Noether's theorem