[PDF] Top 20 Periodic solutions of nonlinear vector difference equations

... Periodic solutions of di ff erence equations in Euclidean and Banach spaces have been con- sidered by many authors, see, for example, [1–3, 5–10, 12] and the references ...Mainly equations with ... See full document

... of solutions for fractional differential inclusions with anti- periodic boundary conditions,” Boundary Value Problems, ...of solutions for a class of nonlinear impulsive functional differential ... See full document

... homoclinic solutions for Hamiltonian systems and their importance in the study of the behavior of dynamical systems have been already recognized from Poincar´e; homoclinic orbits play an important role in ... See full document

... space of d-dimensional real column vectors with convenient norm ||.||. Let ℝ d × d be the space of all d × d real matrices. By the norm of a matrix A Î ℝ d × d , we mean its induced norm ||A|| = sup{||Ax|| |x Î ℝ d , ... See full document

... In this section, we will give the bilinear form for the (3 + 1)-dimensional potential-YTSF equation by applying the Hirota direct method and the dependent variable transformation. A new (3 + 1)-dimensional ... See full document

... difference equations constitute an important and interesting area of research in ...difference equations, see ...difference equations has been studied later, especially in recent years; see [2, ... See full document

... investigated periodic solutions of parabolic boundary value ...scalar periodic-parabolic boundary value problem [1,2] or to system of reaction-diffusion type of equations with specific ... See full document

... discrete nonlinear Schrödinger (DNLS) equations belong to the most important in- herently discrete models, playing a crucial role in the modeling of a great variety of phenomena, ranging from solid-state ... See full document

... In this work, we study the existence and uniqueness of pseudo almost periodic solutions for some difference equations. Firstly, we investigate the spectrum of the shift operator on the space ... See full document

... a periodic time scales with the period ...is periodic with period T if there exists a natural number n such that T = nw, f (t ± T ) = f (t) for all t ∈ T and T is the smallest number such that f (t ± T ) = ... See full document

...  solutions or the equilibrium ...difference equations will give us the germ of generality that is required to understand systems with a more complicated ... See full document

... b. Therefore we can extract a subsequence which converges uniformly on compact sets of Ω × R to a bounded uniformly continuous function v of 3.47. Next we will check that v is almost periodic. By the hypotheses ... See full document

... on nonlinear differential equations with double resonancesee 2–5 ...of nonlinear difference ...of nonlinear difference equations have been extensively investigatedsee 1, 6–8 and the ... See full document

... where R ( z , w ) is irreducible and rational in w and meromorphic in z . This is a natural idea which comes from the topic on the growth, value distribution and unicity on the meromorphic solutions to ... See full document

... The theory of difference equations has grown at an accelerated pace in the past decades. It now occupies a key position in applicable analysis. It is observed that there is much interest in developing ... See full document

... differential equations, we still need to define the notion of uniform semi-periodicity and prove that the associated Nemystkii operators map the set of semi-periodic sequences into ...semi-periodic ... See full document

... of periodic solutions for (P) with double resonance between two consecutive eigenvalues at ...nonzero periodic solutions for (P) with resonance at ... See full document

... Inspired by the work of Li [5], we give sufficient conditions for the existence and uniqueness of the 2π -periodic solution of 1.1 by using the initial value problem method and homeomorphi[r] ... See full document

... 0, n ∈ Z, 1.5 has been studied. Other interesting contributions can be found in some recent papers 7–11 and in references contained therein. It is interesting to study second-order nonlinear difference ... See full document

... Here we will invoke a continuation theorem of Mawhin for obtaining such solutions. More specifically, let X and Y be two Banach spaces and L : Dom L ⊂ X → Y is a linear mapping and N : X → Y a continuous mapping ... See full document