Some existence results on periodic solutions of nonautonomous second-order differential systems with (\(q,p)\)-Laplacian

DOI10.1016/j.aml.2009.10.005zbMath1187.34051OpenAlexW1989219886MaRDI QIDQ847303

Chun-Lei Tang, Daniel Paşca

Publication date: 12 February 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2009.10.005

zbMATH Keywords

periodic solutionthe least action principledifferential systems with (\(q,p\))-Laplacianthe saddle point theorem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational principles in infinite-dimensional spaces (58E30)

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Existence and multiplicity of weak solutions for a nonlinear impulsive \((q,p)\)-Laplacian dynamical system, Periodic solutions of non-autonomous second order systems with (q(t), p(t))-Laplacian, Periodic solutions for autonomous \((q,p)\)-Laplacian system with impulsive effects, Multiple periodic solutions of nonautonomous second-order differential systems with \((q,p)\)-Laplacian and partially periodic potentials, Infinitely many periodic solutions for anisotropic φ-Laplacian systems, Existence of periodic solutions for a class of discrete systems with classical or bounded (phi_1,phi_2)-Laplacian, Multiple periodic solutions for two classes of nonlinear difference systems involving classical (ϕ1,ϕ2)-Laplacian, PERIODIC SOLUTIONS OF SECOND-ORDER DIFFERENTIAL INCLUSIONS SYSTEMS WITH (q, p)-LAPLACIAN, Infinitely many periodic solutions for second-order \((p,q)\)-Laplacian differential systems, Existence of periodic solutions for sublinear second order dynamical system with (q, p)-Laplacian, Periodic solutions for a nonlinear \((q,p)\)-Laplacian dynamical system with impulsive effects

Cites Work

• Periodic solutions of non-autonomous second-order systems with a p-Laplacian
• Critical point theory and Hamiltonian systems
• Periodic solutions for nonautonomous second order systems with sublinear nonlinearity
• Periodic Solutions of Nonlinear Hyperbolie Partial Differential Equations