In this paper, sufficient criteria for the existence of multiple positive periodic solutions of a certain nonlinear dynamic system with feedback control are established. This is done by the Avery–Henderson fixed point theorem and the Leggett– Williams fixed point theorem. By using the method of coincidence degree, sufficient conditions are derived ensuring the existence of at least one periodic...

Abstract In this paper, we give a generalization and improvement of the Pavlović result on characterization continuously differentiable functions in Bloch space unit ball $\mathbb {R}^{m}$ . Then, derive Holland–Walsh type theorem for analytic normal mappings disk.

In this paper, we present a construction of linear codes over F2t from Boolean functions, which is a generalization of Ding’s method [1, Theorem 9]. Based on this construction, we give two classes of linear codes C̃ f and C f (see Theorem 1 and Theorem 6) over F2t from a Boolean function f : Fq → F2, where q = 2n and F2t is some subfield of Fq. The complete weight enumerator of C̃ f can be easily...

Abstract. In this paper we introduce and study a subclass of close-to-convex functions defined in the open unit disk. We establish the inclusion relationship, coefficient estimates and some sufficient conditions for a normalized function to be in our classes of functions. Furthermore, we discuss Fekete-Szegő problem for a more generalized class. The results presented here would provide extensio...

We model the behaviour of the Irish suicide rate over the period 1968-2009 using the unemployment rate and the level of alcohol consumption as the principal explanatory variables. We find that alcohol consumption is a significant influence on the suicide rate among younger males. Its influence on the female suicide rate is not well-established, although there is some evidence that it plays a ro...

We obtain generalizations of the Fan’s matching theorem for an open (or closed) covering related to an admissible map. Each of these is restated as a KKM theorem. Finally, applications concerning coincidence theorems and section results are given.

We prove L estimates (Theorem 1.8) for the Walsh model of the “biest”, a trilinear multiplier with singular symbol. The corresponding estimates for the Fourier model will be obtained in the sequel [15] of this paper.