BACKGROUND The Babinski sign is a well-known sign of upper motor neuron dysfunction that is widely considered an essential element of a complete neurologic examination. Little is known about reliability and validity of this sign. A less well-known sign of upper motor neuron dysfunction, decreased speed of foot tapping, also has not been carefully evaluated. Scientific evaluation of findings of ...

We investigate the existence and uniqueness of strong solutions up to an explosion time for regime-switching diffusion processes in an infinite state space. Instead of concrete conditions on coefficients, our existence and uniqueness result is established under the general assumption that the diffusion in every fixed environment has a unique non-explosive strong solution. Moreover, non-explosio...

A novel upper power domain construction is deened by means of strongly compact sets. Its power domains contain less elements than the classical ones in terms of compact sets, but still admit all necessary operations, i.e. they contain less junk. The notion of strong compactness allows a proof of stronger properties than compactness would, e.g. an intrinsic universal property of the upper power ...

This paper is concerned with analyzing their nodal property of multi-bump type sign-changing solutions constructed by Coti Zelati and Rabinowitz [Comm. Pure Appl. Math. 45 (1992) 1217]. In some cases we provide both upper and lower bounds on the number of nodal domains for these solutions.  2005 Elsevier SAS. All rights reserved. Résumé Cet article concerne l’analyse de la propriété nodale des...

We analyze the structure of an $s-$wave superconducting gap in systems with electron-phonon attraction and electron-electron repulsion. Earlier works have found that superconductivity develops despite strong repulsion, but gap, $\Delta (\omega_m)$, necessarily changes sign along Matsubara axis. sign-changing function from a topological perspective using knowledge nodal point (\omega_m)$ is cent...