𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The active line problem: On the existence and uniqueness of the response of the infinite active line

✍ Scribed by P. P. Civalleri

Publisher
John Wiley and Sons
Year
1973
Tongue
English
Weight
335 KB
Volume
1
Category
Article
ISSN
0098-9886

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, a system of N coupled active infinite lines, excited by a set of N series impressed voltage sources and of N' parallel impressed current sources, is considered. The system is assumed to be described by both a Telegraphist's and a State-space mathematical model. Conditions are given for the existence and the uniqueness of the response of the structure to the given excitation, within the framework of suitable distribution spaces.

Notation

W z :

the linear space of complex vector functions q ( z ) such that

for any a > 0, b > 0 the space of all linear continuous functionals over W$ the spaces of Fourier transforms of functions in Wig, and functionals on Wik the linear space of infinitely smooth functions of compact support the linear space of all linear continuous functionals over D the linear subspace of D', whose elements are right-supported generalized functions the linear space of inverse Fourier transforms of functions in D the linear space of Fourier transforms of generalized functions in D' (W$Y W z and ( W z ) ' D D' D;, Z 2' * This work has been partially sponsored by Consiglio Nazionale della Ricerche, Roma (Italy).

πŸ“œ SIMILAR VOLUMES

Boundary Value Problems on the Half-Line
Boundary Value Problems on the Half-Line with Impulses and Infinite Delay
✍ Baoqiang Yan πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 154 KB

This paper presents some results on the existence and uniqueness of solutions for the boundary value problems on the half-line with impulses and infinite delay. Moreover, an existence theorem of multiple solutions is obtained also. The problems may be singular at the boundary.

Studies on the autocrine activation of a
Studies on the autocrine activation of a synovial cell line
✍ M. E. Baratz; H. I. Georgescu; Dr. C. H. Evans πŸ“‚ Article πŸ“… 1991 πŸ› Elsevier Science 🌐 English βš– 640 KB

## Abstract The lapine synovial cell line HIG‐82 secretes factors that activate cultures of articular chondrocytes. We showed that these β€œchrondrocyte‐activating factors” (CAF) also activate quiescent cultures of HIG‐82 cells in an autocrine fashion. After exposure to partially purified preparation