We prove L estimates (Theorem 1.3) for the Bi-Carleson operator defined below. The methods used are essentially based on the treatment of the Walsh analogue of the operator in the prequel [11] of this paper, but with additional technicalities due to the fact that in the Fourier model one cannot obtain perfect localization in both space and frequency.

We prove L estimates (Theorem 1.2) for the “biest”, a trilinear multiplier operator with singular symbol. The methods used are based on the treatment of the Walsh analogue of the biest in the prequel [16] of this paper, but with additional technicalities due to the fact that in the Fourier model one cannot obtain perfect localization in both space and frequency.

Computing modular coincidences can show whether a given substitution system, which is supported on a point lattice in R, consists of model sets or not. We prove the computatibility of this problem and determine an upper bound for the number of iterations needed. The main tool is a simple algorithm for computing modular coincidences, which is essentially a generalization of Dekking coincidence t...

By means of using Mawhin’s continuation theorem of coincidence degree theory, we derive criteria for the existence of eight positive periodic solutions of a generalized prey-predator system with time delay and stocking.

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.

With the help of continuation theorem based on Gaines and Mawhin’s coincidence degree, sufficient conditions are obtained for the existence of positive periodic solutions for the delay differential system with feedback control in high dimensional space. Present literatures are improved.

This paper is devoted to the existence of positive periodic solutions for system a class nonlinear delay differential equations with conditions. Our analysis based on Mawhin coincidence degree theorem. An example also presented illustrate effectiveness main result.

In this paper, we prove coupled coincidence points and common fixed points theorem for two mappings satisfying various contractive conditions in partially ordered metric spaces. Our results will generalize and extend some recent results in fixed point theory.