Results 21 to 30 of about 380,567 (310)
On nonlinear difference equations
Publications of the Research Institute for Mathematical Sciences, 1965 L. J. Grimm, William A. Harris
openalex +5 more sources
The Chebyshev Difference Equation [PDF]
Mathematics, 2020 We define and investigate a new class of difference equations related to the classical Chebyshev differential equations of the first and second kind. The resulting “discrete Chebyshev polynomials” of the first and second kind have qualitatively similar properties to their continuous counterparts, including a representation by hypergeometric series ...
Tom Cuchta +2 more
openaire +2 more sources
Fractional Order Difference Equations
International Journal of Differential Equations, 2012 A difference equation is a relation between the differences of a function at one or more general values of the independent variable. These equations usually describe the evolution of certain phenomena over the course of time. The present paper deals with
J. Jagan Mohan, G. V. S. R. Deekshitulu
doaj +1 more source
Differential-difference equations reducible to difference and q-difference equations
Computers & Mathematics with Applications, 2001 Asymptotic properties of solutions of the differential-difference equation \[ x'(qt+1)=h(x(t))x'(t), \quad t\geq 0,\;q\geq 1 \tag{*} \] are investigated. Let \(\varphi\in C^1([0,1];\mathbf R)\) satisfies \(\varphi'(1)=h(\varphi(0))\varphi'(0)\). A solution \(x\) of (*) satisfying \(x(t)=\varphi(t)\), \(t\in [0,1)\), is denoted by \(x_{\varphi}\).
openaire +2 more sources
Transformations of Difference Equations I
Advances in Difference Equations, 2010 We consider a general weighted second-order difference equation. Two transformations are studied which transform the given equation into another weighted second order difference equation of the same type, these are based on the Crum transformation.
Currie Sonja, Love AnneD
doaj +2 more sources
Approximative solutions of difference equations
Electronic Journal of Qualitative Theory of Differential Equations, 2014 Asymptotic properties of solutions of difference equations of the form $$ \Delta^m x_n=a_nf(n,x_{\sigma(n)})+b_n $$ are studied. Using the iterated remainder operator and fixed point theorems we obtain sufficient conditions under which for any solution
Janusz Migda
doaj +1 more source
A stochastic difference equation
Journal 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
Dynamical difference equations
Computers & Mathematics with Applications, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
The unpredictably eruptive dynamics of spruce budworm populations in eastern Canada
Population 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
New class of practically solvable systems of difference equations of hyperbolic-cotangent-type
Electronic Journal of Qualitative Theory of Differential Equations, 2020 The systems of difference equations $$x_{n+1}=\frac{u_nv_{n-2}+a}{u_n+v_{n-2}},\quad y_{n+1}=\frac{w_ns_{n-2}+a}{w_n+s_{n-2}},\quad n\in\mathbb{N}_0,$$ where $a, u_0, w_0, v_j, s_j$ $j=-2,-1,0,$ are complex numbers, and the sequences $u_n$, $v_n,$ $w_n$,
Stevo Stevic
doaj +1 more source