In this paper a fixed point theorem for condensing maps combined with upper and lower solutions are used to investigate the existence of solutions for second order differential inclusions with periodic boundary conditions.

periodic vehicle routing problem focuses on establishing a plan of visits to clients over a given time horizon so as to satisfy some service level while optimizing the routes used in each time period. This paper presents a new effective heuristic algorithm based on data mining tools for periodic vehicle routing problem (PVRP). The related results of proposed algorithm are compared with the resu...

The research is financed by by the National Natural Science Foundation of China (11071001) and the Research Fund for the Doctoral Program of Higher Education of China(20093401110001) Abstract In this paper, we study weighted pseudo-almost periodic solutions to general neutral integral equations. By applying the properties of weighted pseudo-almost periodic functions and the fixed point theorem,...

The fundamental model of any solid crystalline material (crystal) at the atomic scale is a periodic point set. strongest natural equivalence crystals rigid motion or isometry that preserves all inter-atomic distances. Past comparisons structures often used manual thresholds, symmetry groups and reduced cells, which are discontinuous under perturbations thermal vibrations atoms. This work define...

the study of the dynamic behavior of a rigid body with one fixed point (gyroscope) has a long history. a number of famous mathematicians and mechanical engineers have devoted enormous time and effort to clarify the role of dynamic effects on its movement (behavior) – stable, periodic, quasi-periodic or chaotic. the main objectives of this review are: 1) to outline the characteristic features of...

This paper deals with the Periodic boundary value problems for Controlled nonlinear impulsive evolution equations. By using the theory of semigroup and fixed point methods, some conditions ensuring the existence and uniqueness. Finally, two examples are provided to demonstrate the effectiveness of the proposed results.

Abstract We study the one-dimensional discrete time totally asymmetric simple exclusion process with parallel update rules on a spatially periodic domain. A multi-point space-time joint distribution formula is obtained for general initial conditions. The involves contour integrals of Fredholm determinants kernels acting certain spaces. For class conditions satisfying technical assumptions, we a...