𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the Spectrum of Cosine Functions

✍ Scribed by Elena Schüler


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
138 KB
Volume
229
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

✦ Synopsis


In this paper we give characterizations of the resolvent set of the generator A of Ž . a strongly continuous cosine function C t in terms of certain solution properties Ž . Ž . Ž . of the differential equation uЉ t s Au t q f t .


📜 SIMILAR VOLUMES


C-Cosine Functions and the Abstract Cauc
✍ Chung-Cheng Kuo; Sen-Yen Shaw 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 225 KB

If A is the generator of an exponentially bounded C-cosine function on a Ž . Banach space X, then the abstract Cauchy problem ACP for A has a unique Ž . Ž . y 1 Ž . solution for every pair x, y of initial values from y A C X . The main result is a characterization of the generator of a C-cosine func

C-Cosine Functions and the Abstract Cauc
✍ Chung-Cheng Kuo; Sen-Yen Shaw 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 246 KB

For a bounded linear injection C on a Banach space X and a closed linear Ž . Ž . operator A : D A ; X ª X which commutes with C we prove that 1 the Ž . Ž . Ž . Ž . abstract Cauchy problem, uЉ t s Au t , t g R, u 0 s Cx, uЈ 0 s Cy, has a Ž . Ž . Ž 2 . unique strong solution for every x, y g D A if an

Note on the cosine response of cylindric
✍ A.R.G. Lang 📂 Article 📅 1978 🏛 Elsevier Science ⚖ 277 KB

Lang, . A.R.G., 1978. Note on the cosine response of cylindrical net radiometers. Agric. Meteorol., 19: 391--397. Cylindrical radiometers, being non circular about the vertical, have errors depending upon their azimuth. This note explores the magnitude of the error which is caused by reflection of

On Weighted Integrability of Double Cosi
✍ Babu Ram; Satvinder Singh Bhatia 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 152 KB

In this paper we study weighted integrability of the sum of double cosine series. w The results obtained extend a theorem of Moricz Proc. Amer. Math. Soc. 109 ## Ž . x p 1990 417᎐425 on L -integrability of double cosine series and two theorems of w Ž . x p