New existence and multiplicity theorems of periodic solutions for non-autonomous second order Hamiltonian systems
نویسندگان
چکیده
منابع مشابه
New existence and multiplicity theorems of periodic solutions for non-autonomous second order Hamiltonian systems
In the present paper, the non-autonomous second order Hamiltonian systems { ü(t) = ∇F(t, u(t)), a.e. t ∈ [0, T ] u(0)− u(T ) = u̇(0)− u̇(T ) = 0, (1) are studied and a new existence theorem and a new multiplicity theorem of periodic solutions are obtained. c © 2007 Elsevier Ltd. All rights reserved.
متن کاملMULTIPLE 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 and multiplicity of periodic solutions for a class of second-order Hamiltonian systems
In this paper, we study the existence and multiplicity of periodic solutions of the following second-order Hamiltonian systems ẍ(t) + V ′(t, x(t)) = 0, where t ∈ R, x ∈ R and V ∈ C(R × R ,R). By using a symmetric mountain pass theorem, we obtain a new criterion to guarantee that second-order Hamiltonian systems has infinitely many periodic solutions. We generalize and improve recent results fro...
متن کاملExistence and Multiplicity of Periodic Solutions Generated by Impulses for Second-order Hamiltonian System
In this article, we study the existence of non-zero periodic solutions for Hamiltonian systems with impulsive conditions. By using a variational method and a variant fountain theorem, we obtain new criteria to guarantee that the system has at least one non-zero periodic solution or infinitely many non-zero periodic solutions. However, without impulses, there is no non-zero periodic solution for...
متن کاملDuality Mappings and the Existence of Periodic Solutions for Non-autonomous Second Order Systems
is a vector version of p-Laplacian operator. In order to say what we understand by solution for the problem (1.1), (1.2) we remind some basic results concerning the W 1,p T -spaces. Let C T be the space of indefinitely differentiable T -periodic functions from R to R . We denote by 〈·, ·〉 the inner product on R and by ‖ · ‖, the norm generated by this inner product (the same meaning is applied ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematical and Computer Modelling
سال: 2007
ISSN: 0895-7177
DOI: 10.1016/j.mcm.2006.11.019