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,
A note on -asymptotically periodic functions
β 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.
β¦ 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.
π SIMILAR VOLUMES
## Abstract Given π<__k__<__n__, a partial Steiner (__n, k__, π)βsystem π« is a family of __k__βelement subsets of an __n__βelement set such that every πβelement subset is contained in at most one member of π«. The second author, followed by several others, verified a conjecture of P. ErdΕs and H. Ha
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.
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