The classic Beverton-Holt (discrete logistic) difference equation, which arises in population dynamics, has a globally asymptotically stable equilibrium (for positive initial conditions) if its coefficients are constants. If the coefficients change in time, then the equation becomes nonautonomous and the asymptotic dynamicsmight not be as simple. One reason the coefficients can change in time i...

‎we mainly discuss the existence of meromorphic (entire) solutions of‎ ‎certain type of non-linear difference equation of the form‎: ‎$f(z)^m+p(z)f(z+c)^n=q(z)$‎, ‎which is a supplement of previous‎ ‎results in [k‎. ‎liu‎, ‎l. z‎. ‎yang and x‎. ‎l‎. ‎liu‎, ‎existence of entire solutions of nonlinear difference‎ ‎equations‎, ‎czechoslovak math. j. 61 (2011)‎, no. 2, ‎565--576‎, and x‎. ‎g‎. ‎qi‎...

We deene an innnite array A of nonnegative integers based on a linear recurrence, which produces basis elements of an exotic ternary numeration system. Using the numeration system we explore many properties of A. Further, we propose and analyze a family of 2-player games on a variable number of heaps of tokens, and present a winning strategy based on certain subarrays of A. Though the strategy ...

here, adomian decomposition method has been used for finding approximateand numerical solutions of nonlinear differential difference equations arising inmathematical physics. two models of special interest in physics, namely, thehybrid nonlinear differential difference equation and relativistic toda couplednonlinear differential-difference equation are chosen to illustrate the validity andthe g...