In this paper, for the above discrete system of pure-delay type, by improving the former work (2002, J. Math. Anal. Appl. 273, 492-511) which extended the averaged condition offered by S. Ahmad and A. C. Lazer (2000, Nonlinear Analysis 40, 37-49), we offer conditions of persistence, and considering a Lyapunov-like discrete function to the above discrete system, we establish sufficient condition...

where E is a real elliptic linear differential operator in a bounded domain G of R” with a given system of linear homogeneous conditions, say, BX = 0 on the boundary aG of G and where N is a Nemitsky type nonnecessarily linear operator. We shall make use here of the alternative method, and particularly we shall make use for the elliptic case of new remarks. These remarks suggest that both the a...

We construct examples of strictly convex functions f on (?1; 1) satisfying f 0 (?1) < n 2 < f 0 (1) such that the Dirichlet problem u 00 + f(u) = h(x) in 0; ], u(0) = u() = 0, has an innnite number of solutions, for any choice of h(x). Kaper and Kwong earlier have presented examples with ve solutions to settle a conjecture raised by Lazer and McKenna. Here, we also give a suucient condition for...

the existence of periodic solutions is related to the coercive conditions of F t, u on u. This fact is first noticed by Berger and Schechter 1 who use the coercive condition F t, u → −∞ as |u| → ∞, uniformly for a.e. t ∈ 0, T . Subsequently, Mawhin andWillem 2 consider it by using more general coercive conditions of an integral form. More precisely, they assume that F t, u : 0, T × R → R is bou...

A little over a year ago, a damning report published in the journal Nature (1 ) sent a ripple through the public health and social science communities: in a season of unusually high flu outbreak, one of the world’s newest biosurveillance systems was inaccurately predicting flu trends. Google Flu Trends (GFT), launched in 2008, is an attempt by Google to predict, in real time, the prevalence of ...

Bu bildiride, açık döngülü piezo-elektrik doğrusal sürücüler için yüksek çözünürlükte histerez telafisi gösterilmektedir. Piezo-elektrik malzemelerde yapıları gereği mevcut olan doğrusalsızlıklar, Bouc-Wen modeli kullanılarak model tabanlı bir kontrol algoritması ile telafi edilmiştir. Telafi için kullanılan yöntemin histerez davranışında zaman, değişen frekans ve farklı hareket genişliği neden...

In this paper we present some mathematical analysis of dynamic (PDE) models of suspension bridges as proposed by Lazer and McKenna. Our results are illustrated by numerical simulation with physical interpretation.

A nonvariational generation of a min-max principle by A. Lazer is made. And it is used to prove a new existence results for a nonconservative systems of ordinary differential equations with resonance.