𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A note on -asymptotically periodic functions

✍ Scribed by Selma H.J. Nicola; Michelle Pierri


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
250 KB
Volume
10
Category
Article
ISSN
1468-1218

No coin nor oath required. For personal study only.

✦ Synopsis


In [Haiyin Gao, Ke Wang, Fengying Wei, Xiaohua Ding, Massera-type theorem and asymptotically periodic Logistic equations, Nonlinear Analysis: Real World Applications 7 (2006) 1268-1283, Lemma 2.1] it is established that a scalar S-asymptotically Ο‰-periodic function (that is, a continuous and bounded function f

In this note we give two examples to show that this assertion is false.


πŸ“œ SIMILAR VOLUMES


A note on fractional-order derivatives o
✍ Mohammad Saleh Tavazoei πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 393 KB

In this paper, it is shown that the fractional-order derivatives of a periodic function with a specific period cannot be a periodic function with the same period. The fractional-order derivative considered here can be obtained based on each of the well-known definitions Grunwald-Letnikov definition,

Note on asymptotically good packings
✍ Daniel M. Martin; VojtΔ›ch RΓΆdl πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 102 KB

## Abstract Given 𝓁<__k__<__n__, a partial Steiner (__n, k__, 𝓁)‐system 𝒫 is a family of __k__‐element subsets of an __n__‐element set such that every 𝓁‐element subset is contained in at most one member of 𝒫. The second author, followed by several others, verified a conjecture of P. ErdΕ‘s and H. Ha

A note on the modulus of continuity of a
✍ M. Allame; B. Vatankhahan πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 175 KB

Let f (x) be a periodic function with period T . In Rivlin (1969) [1] it is claimed that the modulus of continuity is independent of a on [a, a + T ]. In this note we show that this is not correct.

A note on ranking functions
✍ V RΓΆdl; W.T Trotter πŸ“‚ Article πŸ“… 1987 πŸ› Elsevier Science 🌐 English βš– 162 KB

In this issue, W.J. Walker introduces the lattice L(n, r) as the set of all possible results when n competitors are matched in a series of r races. A result is an r-term nondecreasing sequence of integers selected from {1, 2 .... , n}. The dimension of L(n, r) is at most r since it is a subposet of