In this paper, we employ a fixed point theorem due to Krasnosel’skii to attain the existence of periodic solutions for neutral-type neural networks with delays on a periodic time scale. Some new sufficient conditions are established to show that there exists a unique periodic solution by the contraction mapping principle.

In this paper, the authors consider a nonlinear fractional boundary value problem defined on a star graph. By using a transformation, an equivalent system of fractional boundary value problems with mixed boundary conditions is obtained. Then the existence and uniqueness of solutions are investigated by fixed point theory. MSC 2010 : Primary 34B15; Secondary 34B45

._ leads to faster and/or more accurate solutions. Of particular interest to the accelerator community are periodic structures. Quasi-periodic boundary conditions allow modes with any desired phase advance given a single cell of the periodic structure. For symmetric periodic structures there is a variation which requires only a half cell of the periodic structure. These boundary conditions can ...

In this paper, we first improve two inequalities, then by using critical point theory, improve an existence theorem of periodic solutions for a nonlinear discrete system involving the p-Laplacian, and present some estimates of periodic solutions.

In this paper, we study with a periodic porous medium equation with nonlinear convection terms and weakly nonlinear sources under Dirichlet boundary conditions. Based on the theory of Leray-Shauder fixed point theorem, we establish the existence of periodic solutions.

Given a periodic point set in 3-dimensional Euclidean space, an algorithm is described for computing the corresponding periodic Delone tiling (and its Delaney symbol). Examples of applications in tiling theory and crystallography are discussed.