Periodic solutions of a second order superquadratic system with a change of sign in the potential
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Publication:1178491
DOI10.1016/0022-0396(91)90020-AzbMath0736.34041MaRDI QIDQ1178491
Publication date: 26 June 1992
Published in: Journal of Differential Equations (Search for Journal in Brave)
Periodic solutions to ordinary differential equations (34C25) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Local and nonlocal bifurcation theory for dynamical systems (37G99)
Related Items (35)
Positive periodic solutions of second-order differential equations ⋮ Existence and multiplicity results for periodic solutions of superquadratic Hamiltonian systems where the potential changes sign ⋮ Subharmonics near an equilibrium for some second-order Hamiltonian systems ⋮ An abstract theorem on the existence of periodic motions of non-autonomous Lagrange systems ⋮ Periodic solutions of a discrete Hamiltonian system with a change of sign in the potential ⋮ Variational methods for indefinite superlinear homogeneous elliptic problems ⋮ Multiplicity of periodic orbits for a class of second order Hamiltonian systems with superlinear and sublinear nonlinearity ⋮ On periodic solutions of a class of second order nonautonomous systems with nonhomogeneous potentials indefinite in sign ⋮ Infinitely many solutions for a generalized periodic boundary value problem without the evenness assumption ⋮ Odd periodic solutions of fully second-order ordinary differential equations with superlinear nonlinearities ⋮ Existence and multiplicity results for semicoercive unilateral problems ⋮ Positive periodic solutions for a second-order functional differential equation ⋮ Infinitely many solutions for Hamiltonian systems ⋮ Periodic solutions for a class of second order systems with a small forcing term ⋮ Non-autonomous second order Hamiltonian systems ⋮ Periodic solutions of second order discrete Hamiltonian systems with potential indefinite in sign ⋮ Unnamed Item ⋮ Subharmonic solutions of second order subquadratic Hamiltonian systems with potential changing sign ⋮ Existence of periodic solutions of Hamiltonian systems with potential indefinite in sign ⋮ Positive periodic solutions for second-order ordinary differential equations with derivative terms and singularity in nonlinearities ⋮ Infinitely many periodic solutions for second order Hamiltonian systems ⋮ Multiple solutions for second-order Hamiltonian systems via computation of the critical groups ⋮ Periodic solutions of asymptotically linear second order equations with indefinite weight ⋮ On the new variational principles and duality for periodic solutions of Lagrange equations with superlinear nonlinearities ⋮ Existence of periodic solutions to second-order Hamiltonian systems with potential indefinite in sign ⋮ Existence of periodic solutions to second-order Hamiltonian systems with potential indefinite in sign ⋮ Existence of Solutions for the Dirichlet Problem with Superlinear Nonlinearities ⋮ Periodic solutions for second order Hamiltonian systems with a change sign potential ⋮ Inifinitely many solutions for a Floquet-type BVP with superlinearity indefinite in sign ⋮ Periodic solutions of second order Hamiltonian systems ⋮ Multiplicity results for a class of semilinear elliptic equations on \(\mathbb{R}^ m\) ⋮ Existence result for periodic solutions of a class of Hamiltonian systems with super quadratic potential ⋮ Periodic solutions of second order superquadratic Hamiltonian systems with potential changing sign. I ⋮ Periodic solutions of second order superquadratic Hamiltonian systems with potential changing sign. II ⋮ Oscillatory periodic solutions of nonlinear second order ordinary differential equations
Cites Work
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- Saddle points and multiple solutions of differential equations
- Nonlinear oscillations and boundary value problems for Hamiltonian systems
- Periodic solutions to Hamiltonian inclusions
- Periodic solutions of variational systems of ordinary differential equations
- Dual variational methods in critical point theory and applications
- Solutions périodiques d'un système différentiel non linéaire du second ordre avec changement de signe. (Periodic solutions of a nonlinear second order differential system with change of sign)
- Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
- Existence of forced oscillations for some nonlinear differential equations
- Some critical point theorems and applications
- Periodic solutions of hamiltonian systems
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