Now showing items 1-10 of 15
Hopf bifurcations in Lengyel-Epstein reaction-diffusion model with discrete time delay
We investigate bifurcations of the Lengyel-Epstein reaction-diffusion model involving time delay under the Neumann boundary conditions. Choosing the delay parameter as a bifurcation parameter, we show that Hopf bifurcation ...
A curious matrix-sum identity and certain finite sums identities
(World Scientific Publishing Co. Pte Ltd, 2015-09)
In this paper, we consider two generalized binary sequences and then give a generalization of a matrix equality proposed as an advanced problem. Then, we derive new certain finite sums including the generalized binary ...
Some Subsequences of the Generalized Fibonacci and Lucas Sequences
(Utilitas Mathematica Publishing Inc., 2015-07)
We derive first-order nonlinear homogeneous recurrence relations for certain subsequences of generalized Fibonacci and Lucas sequences. We also present a polynomial representation for the terms of Lucas subsequence.
Formulæ related to the q-Dixon formula with applications to Fibonomial sums
(Kluwer Academic Publishers, 2015-06)
The -analogue of Dixon's identity involves three -binomial coefficients as summands. We find many variations of it that have beautiful corollories in terms of Fibonomial sums. Proofs involve either several instances of the ...
Summability methods in weighted approximation to derivatives of functions
(Bulgarian Academy of Sciences Institute of Mathematics and Informatics, 2015-04)
In this paper, we use summability methods on the approximation to derivatives of functions by a family of linear operators acting on weighted spaces. This point of view enables us to overcome the lack of ordinary convergence ...
Summability Process by Mastroianni Operators and Their Generalizations
(Birkhauser Verlag AG, 2015-02)
In this paper, we prove a general Korovkin-type approximation theorem for the Mastroianni operators using a regular summability process with non-negative entries. We also obtain some useful estimates via the modulus of ...
Various Sums Including the Generalized Fibonacci and Lucas numbers
(Palestine Polytechnic University,, 2015-09)
We compute certain sums including generalized Fibonacci and Lucas numbers as well as their alternating analogous. We show that these sums could be expressed by the terms of the sequences. Similar directions are given for ...
Sums of products of generalized Fibonacci and Lucas numbers
Sums of products of a fixed number of Fibonacci(-type) numbers can be computed automatically. This extends, at least in principle, various results about two factors that appeared in the literature. More general results ...
Characterisation and enumeration of a class of semi-bent quadratic Boolean functions
(Inderscience Online, 2015)
In this paper, we consider semi-bentness of quadratic Boolean functions defined for even n and give the characterisation of these functions. Up to our knowledge, semi-bentness of this class has not been investigated before ...
Bifurcation and Stability in a Delayed Predator-Prey Model with Mixed Functional Responses
(World Scientific Publishing Co. Pte Ltd, 2015-06)
The model analyzed in this paper is based on the model set forth by Aziz Alaoui et al. [Aziz Alaoui & Daher Okiye, 2003; Nindjin et al., 2006] with time delay, which describes the competition between the predator and prey. ...