Multiple Periodic Solutions for a Fourth-order Discrete Hamiltonian System
نویسندگان
چکیده
By means of a three critical points theorem proposed by Brezis and Nirenberg and a general version of Mountain Pass Theorem, we obtain some multiplicity results for periodic solutions of a fourth-order discrete Hamiltonian system ∆u(t− 2) +∇F (t, u(t)) = 0, for all t ∈ Z.
منابع مشابه
MULTIPLE PERIODIC SOLUTIONS FOR A CLASS OF NON-AUTONOMOUS AND CONVEX HAMILTONIAN SYSTEMS
In this paper we study Multiple periodic solutions for a class of non-autonomous and convex Hamiltonian systems and we investigate use some properties of Ekeland index.
متن کاملExistence of Multiple Periodic Solutions for Second-order Discrete Hamiltonian Systems with Partially Periodic Potentials
In this article, we use critical point theory to obtain multiple periodic solutions for second-order discrete Hamiltonian systems, when the nonlinearity is partially periodic and its gradient is linearly and sublinearly bounded.
متن کاملMultiple periodic solutions for second-order discrete Hamiltonian systems
By applying critical point theory, the multiplicity of periodic solutions to second-order discrete Hamiltonian systems with partially periodic potentials was considered. It is noticed that, in this paper, the nonlinear term is growing linearly and main results extend some present results. c ©2017 all rights reserved.
متن کاملBifurcations of Periodic Solutions Satisfying the Zero-hamiltonian Constraint in Fourth-order Differential Equations
This is a study of the existence of bifurcation branches for the problem of finding even, periodic solutions in fourth-order, reversible Hamiltonian systems such that the Hamiltonian evaluates to zero along each solution on the branch. The class considered here is a generalisation of both the Swift-Hohenberg and extended Fisher-Kolmogorov equations that have been studied in several recent paper...
متن کاملMultiple periodic solutions for superquadratic second-order discrete Hamiltonian systems
Some multiplicity results are obtained for periodic solutions of the nonautonomous superquadratic second-order discrete Hamiltonian systems Duðt 1Þ þ rF ðt; uðtÞÞ 1⁄4 0 8t 2 Z 0096-3 doi:10. q Sup Outsta * Co E-m Plea Com by using critical point theory, especially, a three critical points theorem proposed by Brezis and Nirenberg. 2007 Elsevier Inc. All rights reserved.
متن کامل