[PDF] Top 20 Periodic solutions of second order difference systems with even potential

... of solutions to discrete ...of periodic solutions to a difference system ...dynamic systems has got considerable ...]), periodic solutions ... See full document

... many periodic solutions for discrete second order Hamiltonian systems with an oscillating ...of solutions are local minimizers of the functional corresponding to the system, the ... 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

... subquadratic potential condition in [], the γ -quasisubadditive potential condition in [], the bounded sublinear gradient condition in [], the bounded linear gradient condition in [] and [], and other ... See full document

... Remark . When F(t, x) = –a cosx – e(t)x (a ≥ ), system (.) is a discrete form of forced equations studied by Mawhin and Willem [–], in which they require the assumption that the forced potential is ... See full document

... of periodic solutions for second order differ- ential systems have been studied extensively, and many solvability conditions have been obtained via variational methods and critical point ... See full document

... of periodic solutions for problem ...type potential condition (see []), the convex type potential condition (see []), the periodic type potential conditions (see []), the ... See full document

... of periodic solutions for problem ...of periodic solutions for systems ...a potential F(t, x) is the sum of an au- tonomous potential F  (u) and a non-autonomous ... See full document

... quadratic potential conditions, the superquadratic potential conditions, the periodicity conditions, and even the type potential condition, and so on, the existence and multiplic- ity of ... See full document

... Hamiltonian systems, with many new ideas and methods being introduced; see, ...for second-order systems and [4, 6, 14, 16] for first-order ...2kT periodic solutions, under ... 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

... We study the existence of periodic solutions for second-order nonautonomous dynamical systems. We give four sets of hypotheses which guarantee the existence of solutions. We were ... See full document

... one periodic solution, while here by Theorem ...many periodic solutions and quasi-periodic solutions of ...rotating periodic solution is just a ... See full document

... of periodic solutions of nonlinear, second-order difference equations of the form y(t + 2) + by(t + 1) + cy(t) = f (y(t)), where c = 0 and f : R → R is ...an even multiple of ... See full document

... The existence of periodic solutions for problem (1.1) has been studied extensively, a lot of existence and multiplicity results have been obtained, we refer the readers to [1-13] and the reference therein. ... See full document

... the periodic and subharmonic solutions are investigated for a class of second-order non-autonomous ordinary differential equations with a ...of solutions to the convex p-Laplacian ... See full document

... which is stronger than (.) and is known as the Ambrosetti-Rabinowitz condition (A-R condition). From then on, many authors have devoted their work to the investigation con- cerning the existence of solutions of ... See full document

... lower solutions and the cone expansion or the compression fixed point theorem, authors [, ] obtained the unique solution and positive solutions to the periodic difference ...ial solutions to ... See full document

... the periodic solution problem is always a important topic, and the reader can consult [1-7] and the references ...of periodic solutions for first-order functional difference equations ... See full document

... We obtain a sufficient condition for the existence of periodic and subharmonic solutions of second-order p-Laplacian di ff erence equations using the critical point theory. Copyright © 2007 P. ... See full document