Results 61 to 70 of about 14,780,959 (374)
Oscillation of difference equations [PDF]
The authors obtain sufficient conditions for the oscillation of all solutions of the delay difference equation \[ y_{n+1} - y_ n + \sum^ k_{i=1} p_{in} y_{n-m_ i} = 0 \] where \(m_ i\), \(i = 1, \dots, k\) are positive integers and \(p_{in}\), \(i = 1, \dots, k\), \(n = 1, 2, \dots\) are real numbers, without assuming the positivity of \(\{p_{in ...
B. S. Lalli, B. G. Zhang
openaire +3 more sources
Bear management changes management actions according to the horizontal axis of the population size and the vertical axis of the number of nuisance bears. Aiming for the target population size of Ntar, Actions I and II protect the bears, and Action IV reduces the population.
Hiroyuki Matsuda +5 more
wiley +1 more source
Dynamics for Nonlinear Difference Equation xn+1=(αxn−k)/(β+γxn−lp)
We mainly study the global behavior of the nonlinear difference equation in the title, that is, the global asymptotical stability of zero equilibrium, the existence of unbounded solutions, the existence of period two solutions, the existence of ...
Dongmei Chen, Xianyi Li, Yanqin Wang
doaj +1 more source
Some results of ϖ-Painlevé difference equation
In this article, we mainly investigate some properties of two types of difference equations Y(ϖz)+Y(z)+Y(zϖ)=ξz+oY(z)+v $$ Y(\varpi z)+Y(z)+Y\biggl(\frac{z}{\varpi}\biggr)=\frac{\xi z+o}{Y(z)}+v $$ and Y(ϖz)+Y(zϖ)=ξz+oY(z)+vY2(z). $$ Y(\varpi z)+Y\biggl(\
Yong Liu, Yuqing Zhang
doaj +1 more source
Moduli spaces of d-connections and difference Painleve equations [PDF]
We show that difference Painleve equations can be interpreted as isomorphisms of moduli spaces of d-connections on the projective line with given singularity structure. We also derive a new difference equation.
Arinkin, D., Borodin, A.
core
Population size and dynamics fundamentally shape speciation by influencing genetic drift, founder events, and adaptive potential. Small populations may speciate rapidly due to stronger drift, whereas large populations harbor more genetic diversity, which can alter divergence trajectories. We highlight theoretical models that incorporate population size
Ryo Yamaguchi +3 more
wiley +1 more source
Solutions of the Rational Difference Equations
Inthis paper the solutions of the following difference equation is examined, (1) wherethe initial conditions are positive real numbers.
Peil Esengul Kyzy, Dagıstan Şimşek
doaj
On the Difference Equation 𝑥𝑛+1=𝛼+𝑥𝑛−𝑚/𝑥𝑘𝑛
We investigate the global behaviour of the difference equation of higher order 𝑥𝑛+1=𝛼+𝑥𝑛−𝑚/𝑥𝑘𝑛, 𝑛=0,1,…, where the parameters 𝛼,𝑘∈(0,∞) and the initial values 𝑥−𝑚,𝑥−(𝑚−1),…,𝑥−2,𝑥−1, and 𝑥0 are arbitrary positive real numbers.
İbrahim Yalçinkaya
doaj +1 more source
Knowing how proteases recognise preferred substrates facilitates matching proteases to applications. The S1′ pocket of protease EA1 directs cleavage to the N‐terminal side of hydrophobic residues, particularly leucine. The S1′ pocket of thermolysin differs from EA's at only one position (leucine in place of phenylalanine), which decreases cleavage ...
Grant R. Broomfield +3 more
wiley +1 more source
We introduce notion of a generalized invariant for difference equations, which naturally generalizes notion of an invariant for the equations. Some motivations, basic examples and methods for application of invariants in the theory of solvability of ...
Stevo Stevic
doaj +1 more source

