Results 41 to 50 of about 14,780,959 (374)

Meromorphic solutions of three certain types of non-linear difference equations

open access: yesAIMS Mathematics, 2021
In this paper, the representations of meromorphic solutions for three types of non-linear difference equations of form $ f^{n}(z)+P_{d}(z, f) = u(z)e^{v(z)}, $ $ f^{n}(z)+P_{d}(z, f) = p_{1}e^{\lambda z}+p_{2}e^{-\lambda z} $ and $
Min Feng Chen   +2 more
doaj   +1 more source

On an Exponential-Type Fuzzy Difference Equation

open access: yesAdvances in Difference Equations, 2010
Our goal is to investigate the existence of the positive solutions, the existence of a nonnegative equilibrium, and the convergence of a positive solution to a nonnegative equilibrium of the fuzzy difference equation , , , where and the initial values
Stefanidou G   +2 more
doaj   +2 more sources

A stochastic difference equation

open access: yesJournal of Differential Equations, 1981
where a(.) and t(.) are random processes with values, respectively, in the non-negative reals, and 5%““. That is, a(n, w) and c(n, w) depend on LL, in a common probability space 0, and (0.1) is assumed to hold for every n ENi for almost every o E 8.
openaire   +2 more sources

Dynamics and behavior of a higher order rational difference equation

open access: yes, 2016
We study the global result, boundedness, and periodicity of solutions of the difference equation xn+1 = a+ bxn−l + cxn−k dxn−l + exn−k , n = 0, 1, . . . , where the parameters a, b, c, d, and e are positive real numbers and the initial conditions x−t, x ...
E. Elsayed
semanticscholar   +1 more source

Dynamical difference equations

open access: yesComputers & Mathematics with Applications, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

On the Hyers-Ulam Stability of the First-Order Difference Equation

open access: yes, 2016
We prove Hyers-Ulam stability of the first-order difference equation of the form , where is a given function with some moderate features. Moreover, we introduce some conditions for the function under which the difference equation is not stable in the ...
Soon-Mo Jung, Y. Nam
semanticscholar   +1 more source

Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation

open access: yesSIAM Journal on Numerical Analysis, 2017
A reaction-diffusion problem with a Caputo time derivative of order $\alpha\in (0,1)$ is considered. The solution of such a problem is shown in general to have a weak singularity near the initial time $t=0$, and sharp pointwise bounds on certain ...
M. Stynes, E. O'Riordan, J. Gracia
semanticscholar   +1 more source

The unpredictably eruptive dynamics of spruce budworm populations in eastern Canada

open access: yesPopulation Ecology, EarlyView.
We examine historical population data for spruce budworm from several locations through the period 1930–1997, and use density‐dependent recruitment curves to test whether the pattern of population growth over time is more consistent with Royama's (1984; Ecological Monographs 54:429–462) linear R(t) model of harmonic oscillation at Green River New ...
Barry J. Cooke, Jacques Régnière
wiley   +1 more source

Difference equation for a population model

open access: yesDiscrete Dynamics in Nature and Society, 2000
In this paper we consider a difference equation of the form u(t+2)=αu(t+1)+βu(t+1)−αu(t)αu(t), for t>−∞, seems to be a general statement of a relative socio-spatial dynamics. Indeed this equation is one of “population model”.
Mami Suzuki
doaj   +1 more source

Difference equation of the colored Jones polynomial for torus knot

open access: yes, 2004
We prove that the N-colored Jones polynomial for the torus knot T_{s,t} satisfies the second order difference equation, which reduces to the first order difference equation for a case of T_{2,2m+1}.
Andrews G. E.   +2 more
core   +1 more source

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