[PDF] Top 20 Existence of periodic solutions for a class of second order Hamiltonian systems

... The existence of periodic solutions for problem ...the periodic type potential conditions (see []), the even type potential condition (see []), the subquadratic potential condition in ... See full document

... In this work, we have established an existence result for nonconstant periodic solutions of a class of second-order systems with p(t)-Laplacian. For p(x) is a constant p, ... See full document

... Using the least action principle, the existence of periodic solutions for some nonautonomous second order Hamiltonian systems is obtained.. Using minimax methods, the multiplicity of per[r] ... See full document

... In this paper, by using a fixed point theorem and the theory of calculus on time scales, we obtain some sufficient conditions for the existence and exponential stability of periodic solutions for a ... See full document

... the existence and multiplicity of periodic solutions of difference equations by using critical point theory (see [–]), the ex- istence and multiplicity of periodic solutions for system ... See full document

... By properly constructing a functional and by using the critical point theory, we establish the existence of homoclinic solutions for a class of subquadratic second-order ... See full document

... Tang, CL, Wu, XP: Periodic solutions for a class of nonautonomous subquadratic second order Hamiltonian systems.. Chang, KC: Variational methods for non-differentiable functionals and the[r] ... See full document

... All authors were supported by Science and Technology Foundation of the Guizhou Province (no. LKM[2011]31; no. LKB[2012]19; no. [2013]2141). The second author was also supported by the Six Talent Peaks Project of ... See full document

... one periodic solution. The periodic solutions which we get appear either as saddle points or as minimizers of the energy functional associated to problem ...the existence of at least two ... See full document

... After the initial work of Yu and Guo, there appeared many results about Hamilto- nian systems, such as [6-9]. Among these articles, the results in [5,6] have a close rela- tion with the one in this article: they ... See full document

... the existence and multiplicity of homoclinic solutions and periodic solutions for Hamiltonian systems have been extensively studied by critical point ...following ... See full document

... the existence of infinitely many homoclinic solutions for a class of second-order Hamiltonian ...the second-order Hamiltonian systems have infinitely ... See full document

... the existence and multiplicity of homoclinic solutions and periodic solutions for Hamiltonian systems have been extensively studied by critical point ...homoclinic ... See full document

... the existence and multiplicity of homoclinic orbits for problem (1) such as [1, 3–18, ...be periodic in t and the au- thor obtained the results by the mountain pass ...the periodic condition, ... See full document

... Then K = {, , . . . , m}. Hence, Theorem . implies that system (.) has nonzero kT- periodic solutions (k = , , . . . ,m). For cases (H)() and (H)(), since r = , (.) holds for every k ∈ N . ... See full document

... Jiang, Q, Tang, C: Periodic and subharmonic solutions of a class of subquadratic second-order Hamiltonian systems. Wang, Z, Zhang, J: Periodic solutions of a class of second order non-au[r] ... See full document

... The existence of periodic solutions for problem ...of existence and multiplicity results have been obtained, we refer the readers to [1-13] and the reference ... See full document

... With periodic potentials, that is, (2) holding with r=N, the existence and multiplicity theorems are obtained for the nonautonomous second-order system (1) in [1] and [2] ...nonautonomous ... See full document

... of Hamiltonian systems, with many new ideas and methods being introduced; see, ...for second-order systems and [4, 6, 14, 16] for first-order ...the existence of one ... See full document

... of Hamiltonian systems are very important in ...the existence and multiplicity of solutions for Hamiltonian systems via critical point theory have been studied by many authors ... See full document