On the periodic nonlinearity and the multiplicity of solutions

DOI10.1016/0362-546X(89)90062-XzbMath0681.58036OpenAlexW2078362434MaRDI QIDQ4730515

Kung-Ching Chang

Publication date: 1989

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(89)90062-x

zbMATH Keywords

periodic solutionsmultiple solutionsNeumann problemsaddle point reductionperiodic nonlinearity

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (24)

Multiple periodic solutions for second order Josephson-type differential systems ⋮ Periodic Solutions of Pendulum-Like Hamiltonian Systems in the Plane ⋮ Some critical point theorems and their applications to periodic solution for second order Hamiltonian systems ⋮ Periodic solutions to differential systems with unbounded or periodic nonlinearities ⋮ An avoiding cones condition for the Poincaré-Birkhoff theorem ⋮ Rotation type solutions for spatially periodic Hamiltonian systems ⋮ Periodic solutions of Hamiltonian systems coupling twist with generalized lower/upper solutions ⋮ An extension of the Poincaré-Birkhoff theorem coupling twist with lower and upper solutions ⋮ Periodic and heteroclinic orbits for a periodic Hamiltonian system ⋮ Coupling linearity and twist: an extension of the Poincaré-Birkhoff theorem for Hamiltonian systems ⋮ A vector p-Laplacian type approach to multiple periodic solutions for the p-relativistic operator ⋮ Periodic solutions for some nonautonomous second order Hamiltonian systems ⋮ Generic results for the existence of nondegenerate periodic solutions of some differential systems with periodic nonlinearities ⋮ Periodic solutions of spatially periodic Hamiltonian systems ⋮ Periodic solutions of spatially periodic, even Hamiltonian systems ⋮ Even Hamiltonian systems on Tori and cotangent spaces of Tori ⋮ A higher dimensional Poincaré-Birkhoff theorem for Hamiltonian flows ⋮ On a notion of category depending on a functional. II: An application to Hamiltonian systems ⋮ Multiple periodic solutions for lagrangian systems in Tn ⋮ A relative category and applications to critical point theory for strongly indefinite functionals ⋮ A Poincaré-Birkhoff theorem for Hamiltonian flows on nonconvex domains ⋮ The minimal period problem for the classical forced pendulum equation ⋮ Periodic solutions for nonautonomous second-order systems with bounded nonlinearity ⋮ Periodic Solutions of Differential and Difference Systems with Pendulum-Type Nonlinearities: Variational Approaches

Cites Work

• Unnamed Item
• Multiple solutions of the periodic boundary value problem for some forced pendulum-type equations
• The Birkhoff-Lewis fixed point theorem and a conjecture of V.I. Arnold
• A mountain pass theorem
• Forced second order conservative systems with periodic nonlinearity
• A note on a nonlinear eigenvalue problem for a class of differential equations
• Multiple critical points of periodic functional and some applications

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