Multiple Periodic Solutions to Nonlinear Discrete Hamiltonian Systems
نویسندگان
چکیده
Let Z and R be the sets of all integers and real numbers, respectively. For a,b ∈ Z, define Z(a)= {a,a+1, . . .} and Z(a,b)= {a,a+1, . . . ,b} when a≤ b. Let A be an n×m matrix. Aτ denotes the transpose ofA.When n=m, σ(A) and det(A) denote the set of eigenvalues and the determinant of A, respectively. In this paper, we study the existence of multiple p-periodic solutions to the following discrete Hamiltonian systems:
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 کاملResearch Article Multiple Periodic Solutions to Nonlinear DiscreteHamiltonian Systems
Let Z and R be the sets of all integers and real numbers, respectively. For a,b ∈ Z, define Z(a)= {a,a+1, . . .} and Z(a,b)= {a,a+1, . . . ,b} when a≤ b. Let A be an n×m matrix. Aτ denotes the transpose ofA.When n=m, σ(A) and det(A) denote the set of eigenvalues and the determinant of A, respectively. In this paper, we study the existence of multiple p-periodic solutions to the following discre...
متن کاملNew conditions on ground state solutions for Hamiltonian elliptic systems with gradient terms
This paper is concerned with the following elliptic system:$$ left{ begin{array}{ll} -triangle u + b(x)nabla u + V(x)u=g(x, v), -triangle v - b(x)nabla v + V(x)v=f(x, u), end{array} right. $$ for $x in {R}^{N}$, where $V $, $b$ and $W$ are 1-periodic in $x$, and $f(x,t)$, $g(x,t)$ are super-quadratic. In this paper, we give a new technique to show the boundedness of Cerami sequences and estab...
متن کامل