Existence solutions for second order Hamiltonian systems

DOI10.1016/J.NONRWA.2015.08.001zbMath1333.34061OpenAlexW1192032497MaRDI QIDQ900633

Lin Li, Schechter, Martin

Publication date: 22 December 2015

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2015.08.001

zbMATH Keywords

periodic solutionsdynamical systemscritical pointsfountain theoremlinking theorem

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Periodic orbits of vector fields and flows (37C27) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50) Nonautonomous smooth dynamical systems (37C60)

Related Items (15)

Existence of periodic solutions for a class of damped vibration problems ⋮ Infinitely many periodic solutions for a class of new superquadratic second-order Hamiltonian systems ⋮ New results on periodic solutions for second order damped vibration systems ⋮ Multiplicity of periodic solutions for a class of new super-quadratic damped vibration problems ⋮ A unified approach to periodic solutions for a class of non-autonomous second order Hamiltonian systems ⋮ Existence of periodic solutions for second-order Hamiltonian systems with asymptotically linear conditions ⋮ EXISTENCE OF PERIODIC SOLUTIONS FOR HAMILTONIAN SYSTEMS WITH SUPER-LINEAR AND SIGN-CHANGING NONLINEARITIES ⋮ Periodic solutions for a class of second order Hamiltonian systems with \(p(t)\)-Laplacian ⋮ Homoclinic orbits for the second-order Hamiltonian systems ⋮ Existence and multiplicity of periodic solutions and subharmonic solutions for a class of elliptic equations ⋮ Multiplicity of periodic solutions for second order Hamiltonian systems with asymptotically quadratic conditions ⋮ Weak condition for a class of \(p\)-Laplacian Hamiltonian systems ⋮ Existence of solutions for second-order Hamiltonian systems with resonance ⋮ General and weak sufficient condition for Hamiltonian systems ⋮ Index theory for second order linear Hamiltonian systems with \(L^1\) coefficient matrix satisfying generalized periodic boundary value conditions

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