In this paper, we analyze the Bohr ρ-almost periodic type sequences and generalized of form F:I×X→Y, where ∅≠I⊆Zn, X Y are complex Banach spaces ρ is a general binary relation on Y. We provide many structural results, observations open problems about introduced classes sequences. Certain applications established theoretical results to abstract Volterra integro-difference equations also given.

A particular periodic orbit in the Earth-Sun circular restricted three body problem is shown to have the characteristics needed for a ballistic lunar capture transfer. An injection from a circular parking orbit into the periodic orbit serves as an initial guess for a targeting algorithm. By targeting appropriate parameters incrementally in increasingly complicated force models and using precise...

In this paper, we introduce a q-analog of the bi-periodic Lucas sequence, called as the q-bi-periodic Lucas sequence, and give some identities related to the q-bi-periodic Fibonacci and Lucas sequences. Also, we give a matrix representation for the q-bi-periodic Fibonacci sequence which allow us to obtain several properties of this sequence in a simple way. Moreover, by using the explicit formu...

In this article we propose a new model for scheduling periodic tasks. The model is based on a variation of the circular chromatic number, called the multiple circular colouring of the conflict graph. We show that for a large class of graphs, this new model will provide better solutions than the original circular chromatic number. At the same time, it allows us to avoid the difficulty of impleme...

It is well-known that Sturmian sequences are the non ultimately periodic sequences that are balanced over a 2-letter alphabet. They are also characterized by their complexity: they have exactly (n + 1) distinct factors of length n. A natural generalization of Sturmian sequences is the set of infinite episturmian sequences. These sequences are not necessarily balanced over a k-letter alphabet, n...

Certain vector sequences in Hermitian or in Hilbert spaces, can be orthogonalized by a Fourier transf‘orm. In the Anite-dimensional case, the discrete Fourier transform OFT) accomplishes the orthogonalization. The property of a vector sequence which allows the orthogonalization of the sequence by the DFT, called circular stationarity (CS), is discusped inthis paper. Applying the DFT to a given ...

In this paper we consider the existence and uniqueness of bounded solutions of periodic evolution equations of the form u = A(t)u + ǫH(t, u) + f(t), where A(t) is an in general unbounded operator depending 1-periodically on t, H is periodic in t with the same period as A, ǫ is small, and f is a bounded and continuous function that is not necessarily uniformly continuous. We propose a new approa...

We introduce the notion of almost realizability, an arithmetic generalization realizability for integer sequences, which is property counting periodic points some map. characterize intersection between set Stirling sequences (of both first and second kind) realizable sequences.