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.

We show that an area preserving homeomorphism of the open annu lus which has at least one periodic point must in fact have in nitely many interior periodic points

In this paper we consider diffeomorphisms of C? of the special form F(z, W) = (w, --z + ~G(w)). For such maps the origin is a parabolic fixed point. Under certain hypotheses on G we prove the existence of a domain R c @ with 0 E aR and of invariant complex cnrves 20 = f(t) and zv = g(z), z E R, for F-l and F, such that Fhn(z,f(z)) t 0 and F”(z,g(z)) + 0 as n + co.

We construct instanton-like classical solutions of the fixed point action of a suitable renormalization group transformation for the SU(3) lattice gauge theory. The problem of the non-existence of one-instantons on a lattice with periodic boundary conditions is circumvented by working on open lattices. We consider instanton solutions for values of the size (0.61.9 in lattice units) which are re...

*Correspondence: [email protected] 2School of Mathematics and Computer, Gannan Normal University, Ganzhou, 341000, China Full list of author information is available at the end of the article Abstract In this paper we present some new examples in cone b-metric spaces and prove some fixed point theorems of contractive mappings without the assumption of normality in cone b-metric spaces. The res...

In this paper, we are concerned with new weighted pseudo almost periodic solutions of the semilinear evolution equations with nonlocal conditions x′(t) = A(t)x(t) + f(t, x(t)), x(0) = x0 + g(x), t ∈ R. By applying the Banach fixed point theorem, the theory of the measure theory, the theory of semigroups of operators to evolution families and the properties of a class of new weighted pseudo almo...

In this paper, in order to characterize the critical error linear complexity spectrum (CELCS) for 2-periodic binary sequences, we first propose a decomposition based on the cube theory. Based on the proposed k-error cube decomposition, and the famous inclusion-exclusion principle, we obtain the complete characterization of ith descent point (critical point) of the k-error linear complexity for ...

this paper investigates the dynamics and stability properties of a discrete-time lotka-volterra type system. we first analyze stability of the fixed points and the existence of local bifurcations. our analysis shows the presence of rich variety of local bifurcations, namely, stable fixed points; in which population numbers remain constant, periodic cycles; in which population numbers oscillate amo...

In this paper, in order to characterize the critical error linear complexity spectrum (CELCS) for 2-periodic binary sequences, we first propose a decomposition based on the cube theory. Based on the proposed k-error cube decomposition, and the famous inclusion-exclusion principle, we obtain the complete characterization of ith descent point (critical point) of the k-error linear complexity for ...