In this paper we study the long-time dynamics for non-autonomous extensible non-symmetric two-beams. The governing equations describe equilibria of an elastically-coupled two-beams system subject to damping terms and evenly compressive axial loads. Under quite general assumptions on nonlinear sources based semigroups theory monotone operators, establish existence uniqueness weak strong solution...

(a) Kakutani; (b) acyclic; (c) O’Neill; (d) approximable; (e) admissible in the sense of Górniewicz; or (f) in κ c . The maps considered will also satisfy various compactness criteria described in Section 2. Our analysis is elementary and combines properties of the Minkowski functional with fixed point theory for self-maps. Also using our new homotopy theorem, we will present an “invariant dire...

For discontinuous games Simon and Zame (1990) introduced a new approach to the existence of equilibria. To obtain the required continuity, they convert the original discontinuous payoff function into an upper semicontinuous payoff correspondence; graphically, this corresponds to a “vertical interpolation” to close the discontinuity gap at the discontinuity points. The resulting payoff indetermi...

We will present the problem of the Central Limit Theorem for random upper semicontinuous functions. Let us begin by providing the context for that problem. We need to present the space in which we will work, and specify the notions of random element of that space, convergence and the operations used to average random elements. Then we will make some historical remarks on limit theorems in this ...

<p style='text-indent:20px;'>The classical theorem of Jewett and Krieger gives a strictly ergodic model for any measure preserving system. An extension this result non-ergodic systems was given many years ago by George Hansel. He constructed, system, uniform model, i.e. compact space which admits an upper semicontinuous decomposition into models the components measure. In note we give new...

The aim of this note is to show how various facts in classical topology connected with semicontinuous functions and the semicontinuous quasi-uniformity have their counterparts in pointfree topology. In particular, we introduce the localic semicontinuous quasi-uniformity, which generalizes the semicontinuous quasiuniformity of a topological space (known to be one of the most important examples o...

In conclusion, I may point out that Theorem II may be generalized by a weakening of the hypothesis (d) . (1) In the first place, continuity of [a, g] f with respect to the pair of variables a, /3 may be replaced by upper semi-continuity . This generalization requires no change in the proof . (2) This continuity (or upper semi-continuity) with respect to (a, /3) is used only to show that the set...

Radzik (1991) showed that two-player games on compact intervals of the real line have ε – equilibria for all ε > 0, provided that payoff functions are upper semicontinuous and strongly quasi-concave. In an attempt to generalize this theorem, Ziad (1997) stated that the same is true for n-player games on compact, convex subsets of Rm, m ≥ 1 provided that we strengthen the upper semicontinuity co...