We prove a generalization of the Poincaré-Birkhoff theorem for the open annulus showing that if a homeomorphism satisfies a certain twist condition and the nonwandering set is connected, then there is a fixed point. Our main focus is the study of bounded homeomorphisms of the open annulus. We prove a fixed point theorem for bounded homeomorphisms and study the special case of those homeomorphis...

We describe a circle of ideas relating the dynamics of 2-dimensional homeomorphisms to that of 1-dimensional endomorphisms. This is used to introduce a new class of maps generalizing that of Thurston’s pseudo-Anosov homeomorphisms.

Let X = {a}∪ {ai | i ∈ N} be a subspace of Euclidean space E such that limi→∞ ai = a and ai 6= aj for i 6= j. Then it is well known that the space X has no expansive homeomorphisms with the shadowing property. In this paper we show that the set of all expansive homeomorphisms with the shadowing property on the space Y is dense in the space H(Y ) of all homeomorphisms on Y , where Y = {a, b} ∪ {...

distance relays are used to protect ehv and hv transmission lines. over the past decades many algorithms have emerged for digital distance relays. these are based on the calculation of the transmission line impedance from the relaying to fault points. in this paper a novel method for digital distance relaying is proposed. in the method the tracking procedure is implemented. the method uses the ...

Several qualitative properties of the conformal homeomorphisms between relative circle domains are proved. In particular, counterexamples are presented to the analog of Koebe's 1=4 Theorem for conformal homeomorphisms between relative circle domains in simply connected domains, and for isomorphisms of disk packings.

"We study the distortion features of homeomorphisms Sobolev class $W^{1,1}_{\rm loc}$ admitting integrability for $p$-outer dilatation. We show that such mappings belong to $W^{1,n-1}_{\rm loc},$ are differentiable almost everywhere and possess absolute continuity in measure. In addition, both ring lower $Q$-homeomorphisms with appropriate measurable functions $Q.$ This allows us derive various...

Let f be an uncountable, M -multiply orthogonal domain. Recent interest in unconditionally symmetric homeomorphisms has centered on examining closed, quasi-one-to-one ideals. We show that e is not diffeomorphic to H̄. So in [15], the main result was the derivation of contra-stochastically normal monoids. Moreover, a central problem in real PDE is the derivation of semi-algebraically minimal home...