Testing of the coincidence of a linear accelerators X-ray field and the light field as a quality control test is often done in a subjective method, involving the manual marking of pieces of film and the visual inspection of the film after irradiation. The purpose of this study was to develop an objective method for performing this test, while also increasing the accuracy, precision and the spee...

In this paper, a class of predator-prey-chain model with harvesting terms are studied. By using Mawhin’s continuation theorem of coincidence degree theory and some skills of inequalities, some sufficient conditions are established for the existence of eight positive periodic solutions. Finally, an example is presented to illustrate the feasibility and effectiveness of the results. Keywords—Posi...

This paper presents an implementation of Coincidence Algorithm on multi-core processors. The algorithm is suitable to solve combinatorial problems. The implementation uses Intel Threading Building Blocks library for parallel computation. The performance improvement is measured using several Traveling Salesman Problems. The result shows that a speedup of a dual-core processor over a single-core ...

This paper is devoted to a delayed periodic predatorprey system with non-monotonic numerical response on time scales. With the help of a continuation theorem based on coincidence degree theory, we establish easily verifiable criteria for the existence of multiple periodic solutions. As corollaries, some applications are listed. In particular, our results improve and generalize some known ones. ...

In this paper, using the Gaines and Mawhin,s continuation theorem of coincidence degree theory on time scales, the existence of periodic solutions for a two-prey one-predator system is studied. Some sufficient conditions for the existence of positive periodic solutions are obtained. The results provide unified existence theorems of periodic solution for the continuous differential equations and...

By means of the coincidence degree theory, we give some criteria for the existence of periodic solutions of a three-neuron network model. @ 2003 Elsevier Ltd. All rights reserved. Keywords-Three-neuron network model, Periodic solution, The continuation theorem.

Introduction: The evaluation of X-ray and light field coincidence in linear accelerators as a quality control test is often performed subjectively, involving the manual marking of films and their visual inspection following the irradiation. Therefore, the present study aimed to develop an objective method for the performance of this test leading to the increased levels...

A fixed-point theorem on compact compositions of acyclic maps on admissible (in the sense of Klee) convex subset of a t.v.s. is applied to obtain a cyclic coincidence theorem for acyclic maps, generalized “onNeumann type intersection theorems, the Nash type equilibrium theorems, and the “onNeumann minimax theorem. Our new results generalize earlier works of Lassonde [l], Simons [2], and Park [3...

In this paper, the existence of periodic solutions of a delayed competitive system with the effect of toxic substances is investigated by using the Gaines and Mawhins continuation theorem of coincidence degree theory on time scales. New sufficient conditions are obtained for the existence of periodic solutions. The approach is unified to provide the existence of the desired solutions for the co...