A new variational principle and duality for periodic solutions of Hamilton's equations

DOI10.1016/0022-0396(92)90089-6zbMath0759.34039OpenAlexW2012844804WikidataQ104413771 ScholiaQ104413771MaRDI QIDQ1188235

Andrzej F. Nowakowski

Publication date: 13 August 1992

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(92)90089-6

zbMATH Keywords

periodic solutionsvariational principleboundary-value problemaction functionalleast action principleHamiltonian equationsEuler-Lagrange equationduality principleLagrangeanmotion of a mechanical system

Mathematics Subject Classification ID

Related Items (15)

New Variational Principle and Duality for a Certain Class of Nonlinear Operator Equations ⋮ The Existence of a Solution and Numerical Approximation to a Dirichlet Problem for a Nonlinear Differential Equation ⋮ Existence and stability of Solutions for Nonlinear Abstract Equations ⋮ On a new critical point theorem and some applications to discrete equations ⋮ An abstract theorem on the existence of periodic motions of non-autonomous Lagrange systems ⋮ Hamiltonian systems with controls ⋮ Periodic solutions for abstract Hamiltonian equations ⋮ On a Fenchel–Young Type Conjugacy for Invex Functions ⋮ On the existence of multiple solutions for a nonlocal BVP with vector-valued response ⋮ On the new variational principles and duality for periodic solutions of Lagrange equations with superlinear nonlinearities ⋮ Existence of Solutions for the Dirichlet Problem with Superlinear Nonlinearities ⋮ On The Existence of a Countable Set of Positive Solutions for a Nonlocal Boundary-Value Problem with Vector-Valued Response ⋮ Existence of periodic solutions for nonlinear differential equations ⋮ A Note on Stability of Solutions for Abstract Semilinear Dirichlet Problems ⋮ Multiple positive solutions for a nonlocal boundary-value problem with nonconvex vector-valued response

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