We investigate the global stability, and the periodicity of the recursive sequence where the parameters α,β and A and the initial condition x-1 and Xo are non negative real numbers.

Consider the neutral delay differential equation with positive and negative coefficients,[formula]wherep ∈ Rand[formula] Some sufficient conditions for the existence of a nonoscillatory solution of the above equation expressed in terms of ∫∞ sQi(s) ds < ∞,i = 1, 2, and certain technical conditions implying thatQ1(s) dominatesQ2(s) are obtained for values ofp ≠ ± 1.

Taken separately, the concepts of institution and paranoia have no bearing on this work. They acquire their full new meaning as "institutional paranoia" only when they are taken together. Institutional paranoia is not a mental illness in the ordinary sense. It is a state, a condition, which exists in all associations and communities which have the same goal and concurrent intentions. The author's analysis of the problem is based on observation and monitoring of circumstances, discussions and content analysis, as well as on the use of questionnaires in several health institutions over a long period of time. He focuses his attention primarily on health, political, and economic institutions. The results of observation and analysis point to some interesting phenomena which require further study, regardless of their positive or negative outcome. With additional interventions, the content and dynamics of this process in institutions can contribute to the gradual diminishing of institutional paranoia, and sometimes its complete disappearance over a long time.

This work represents a derivative of a greater study in which adequate values should be given to the psychological component of dictatorship and tyranny within the framework of certain social conditions, economic possibilities of societies, and political events that begin and end all political differences and chaos. Society, economy, and politics are simultaneously the feeding places and hunting ground where ambitious individuals and suggestible masses meet. This "fortunate meeting" leads to dictatorship, which wouldn't be possible without these two psychological components. In our life we have become aware of the irresistible fascination between the masses and a future dictator who uses the masses for the encouragement of his own defenses embodied in narcissism, hatred, and personal will. However, we shouldn't forget that the dictator's characteristics and aspirations represent mostly the fragments of a frustrated childhood and extreme personal outrage and weakness. The author is not on safe ground while tracing the most convincing historical background to confirm his thesis about the appearance of the dictator and dictatorship, however neither can he find a firm stand for its prevention on these phenomena. On the contrary, these shoudn't be any delusions concerning our times and Middle-European conditions, because the appearance of a dictatorship is possible always and everywhere--just the colors are changed. Therefore, it is quite necessary to lead a permanent antidictatorship campaign. Why? Because dictatorship is always possible although it can appear in different forms and can be based on shrewd illusions. Group interests become the most obvious source of a dictatorial invasion. Today, nationalism, fed by the retardate religious remnants from the past, is on the offensive.(ABSTRACT TRUNCATED AT 250 WORDS)

We established sufficient conditions for the global attractivity of the positive equilibrium of the delay differential equation [Ndot](t) ≡ −δN(t) + PN(t–τ)e−aN(t–τ) which was used by Gurney, Blythe and Nisbet [1] in describing the dynamics of Nicholson's blowflies

Let x(e:t) denote the arterial concentration of CO2. Mackey and Glass (1977) have proposed that x(t) is governed by the autonomous delay differential equation (*) where γ, β, z.Θ are positive parameters, τ is a non-negative delay and Vm denotes the maximum ‘ventilation’ rate of CO2. We obtain sufficient and also necessary and sufficient conditions for all positive solutions of (*) to oscillate about the positive equilibrium x * of (*). We also obtain sufficient conditions for x * to be a global attractor.