Existence of T-periodic solutions for a class of Lagrangian systems

zbMath0709.34034MaRDI QIDQ5966358

Maria Tucci, Elvira Mirenghi

Publication date: 1990

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1990__83__19_0

zbMATH Keywords

functionalcritical pointsLagrangian functionactionLagrangian system of differential equations

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25)

Cites Work

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• Periodic solutions of dynamical systems
• Periodic solutions of Hamiltonian systems with superquadratic potential
• Periodic solutions of dynamical systems with bounded potential
• Periodic solutions of Lagrangian systems with bounded potential
• Periodic solutions of dynamical systems by a saddle point theorem of Rabinowitz
• Periodic Solutions of Hamiltonian Systems: A Survey
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• A geometrical index for the groupS1 and some applications to the study of periodic solutions of ordinary differential equations
• On the existence of a nontrivial solution to nonlinear problems at resonance

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