On the struture of homeomorphims of the open annulus
Let $h$ be a without fixed point lift to the plane of a homeomorphism of the open annulus isotopic to the identity and without wandering point. We show that $h$ admits a $h$-invariant dense open set $O$ on which it is conjugate to a translation and we study the action of $h$ on the compactly connected components of the closed and without interior set ${\bf R}^2 \setminus O$.
Foundations of Point Set Theory
Consequences of axioms 0 and 1 Consequences of axioms 0, 1 and 2 Consequences of axioms 0, 1, 2, 3 and 5 Consequences of axioms 0 and 1-5 Upper semi-continuous collections Consequences of axioms $0, 1, 2, 3, 4, 5_1, 5_2, 6$ and $7$ Concerning topological equivalence and the introduction of distance Appendix Bibliography Glossary.
Steady-state analysis for a class of hyperbolic systems with boundary inputs
Results of a steady-state analysis performed for a class of distributed parameter systems described by hyperbolic partial differential equations defined on a one-dimensional spatial domain are presented. For the case of the system with two state variables and two boundary inputs, the analytical expressions for the steady-state distribution of the state variables are derived, both in the exponential and in the hyperbolic form. The influence of the location of the boundary inputs on the steady-state response is demonstrated. The considerations are illustrated with a practical example of a shell and tube heat exchanger operating in paralleland countercurrent-flow modes.