Results 71 to 80 of about 14,780,959 (374)
On the Solutions of Difference Equation Systems with Padovan Numbers
, 2013 In this study, we investigate the form of the solutions of the following rational difference equation systems 1 1 1 1 , n n nn x x yx 1 1 1 n n nn y y xy such that their solutions are associated with Padovan numbers.
Y. Yazlık, D. T. Tollu, N. Taskara
semanticscholar +1 more source
A reduction technique for Generalised Riccati Difference Equations [PDF]
, 2013 This paper proposes a reduction technique for the generalised Riccati difference equation arising in optimal control and optimal filtering. This technique relies on a study on the generalised discrete algebraic Riccati equation.
Ferrante, Augusto +1 more
core
Exploring lipid diversity and minimalism to define membrane requirements for synthetic cells
FEBS Letters, EarlyView.Designing the lipid membrane of synthetic cells is a complex task, in which its various roles (among them solute transport, membrane protein support, and self‐replication) should all be integrated. In this review, we report the latest top‐down and bottom‐up advances and discuss compatibility and complexity issues of current engineering approaches ...
Sergiy Gan +2 more
wiley +1 more source
On a Higher-Order Nonlinear Difference Equation
Abstract and Applied Analysis, 2010 This paper shows that all positive solutions of a higher-order nonlinear difference equation are bounded, extending some recent results in the literature.
Bratislav D. Iričanin
doaj +1 more source
Electronic Journal of Qualitative Theory of Differential Equations, 2019 We present general solutions to four classes of nonlinear difference equations, as well as some representations of the general solutions for two of the classes in terms of specially chosen solutions to linear homogeneous difference equations with ...
Stevo Stevic
doaj +1 more source
On the solutions of two special types of Riccati difference equation via Fibonacci numbers
, 2013 In this study, we investigate the solutions of two special types of the Riccati difference equation xn+1=11+xn and yn+1=1−1+yn such that their solutions are associated with Fibonacci numbers.MSC: 11B39, 39A10, 39A13.
D. T. Tollu, Y. Yazlık, N. Taskara
semanticscholar +1 more source
Multi-Bunch Solutions of Differential-Difference Equation for Traffic Flow
, 1999 Newell-Whitham type car-following model with hyperbolic tangent optimal velocity function in a one-lane circuit has a finite set of the exact solutions for steady traveling wave, which expressed by elliptic theta function.
D. C. Gazis +16 more
core +1 more source
FEBS Letters, EarlyView.Spinal muscular atrophy (SMA) is a genetic disease affecting motor neurons. Individuals with SMA experience mitochondrial dysfunction and oxidative stress. The aim of the study was to investigate the effect of an antioxidant and neuroprotective substance, ergothioneine (ERGO), on an SMNΔ7 mouse model of SMA.
Francesca Cadile +8 more
wiley +1 more source
On the Difference Equation xn=anxn-k/(bn+cnxn-1⋯xn-k)
Abstract and Applied Analysis, 2012 The behavior of well-defined solutions of the difference equation xn=anxn-k/(bn+cnxn-1⋯xn-k), n∈ℕ0, where k∈ℕ is fixed, the sequences an, bn and cn are real, (bn,cn)≠(0,0), n∈ℕ0, and the initial values x-k,…,x-1 are real numbers, is described.
Stevo Stević +3 more
doaj +1 more source
Electronic Journal of Qualitative Theory of Differential Equations, 2014 Well-defined solutions of the bilinear difference equation are represented in terms of generalized Fibonacci sequences and the initial value. Our results extend and give natural explanations of some recent results in the literature.
Stevo Stevic
doaj +1 more source