On the new variational principles and duality for periodic solutions of Lagrange equations with superlinear nonlinearities

DOI10.1006/jmaa.2001.7667zbMath0998.34033OpenAlexW1990391773WikidataQ104413763 ScholiaQ104413763MaRDI QIDQ5956510

Andrzej F. Nowakowski, Andrzej Rogowski

Publication date: 18 November 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2001.7667

zbMATH Keywords

periodic solutionsvariational principlesdualitycritical points of the minmax typesuperlinear nonlinearities

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Existence of solutions for minimax problems (49J35)

Related Items (14)

New Variational Principle and Duality for a Certain Class of Nonlinear Operator Equations ⋮ A note on a dirichlet problem with concave-convex nonlinearity ⋮ Existence and stability of Solutions for Nonlinear Abstract Equations ⋮ An abstract theorem on the existence of periodic motions of non-autonomous Lagrange systems ⋮ A note on existence and stability of solutions for semilinear Dirichlet problems ⋮ A new variational method for thep(x)-Laplacian equation ⋮ On the nonlinear elastic beam equation ⋮ Existence, stability and approximation of solutions for a certain class of nonlinear BVPs ⋮ On a Fenchel–Young Type Conjugacy for Invex Functions ⋮ On the existence and stability of higher order Dirichlet problems ⋮ Dirichlet problem for semilinear hyperbolic equation ⋮ On existence and stability of solutions for higher order semilinear Dirichlet problems ⋮ On a Certain Generalization of the Krasnosel'skii Theorem ⋮ On the existence and the stability of solutions for higher-order semilinear Dirichlet problems

Cites Work

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• Periodic solutions to Hamiltonian inclusions
• Periodic solutions of a second order superquadratic system with a change of sign in the potential
• Critical point theory and Hamiltonian systems
• A new variational principle and duality for periodic solutions of Hamilton's equations
• Periodic solutions of non-autonomous second order systems with superlinear terms
• Periodic solutions of nonlinear vibrating strings and duality principles

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