A 3D Smale horseshoe in a hyperchaotic discrete-time system.
A certain integral-recurrence equation with discrete-continuous auto-convolution
Laplace transform and some of the author’s previous results about first order differential-recurrence equations with discrete auto-convolution are used to solve a new type of non-linear quadratic integral equation. This paper continues the author’s work from other articles in which are considered and solved new types of algebraic-differential or integral equations.
A Characterization of Linear Difference Equations Which are Solvable by Elementary Operations.
A correction to “Cayley's problem”, AM 35 (1990) No. 2, 140-146
A discrete predator-prey system with age-structure for predator and natural barriers for prey
We analyze a two species discrete predator-prey model in which the prey disperses between two patches of a heterogeneous environment with barriers and the mature predator disperses between the patches with no barrier. By using the discrete dynamical system generated by a monotone, concave maps for subcommunity of prey, we obtain the subcommunity of prey exists an equilibrium which attracts all positive solutions, and using the stability trichotomy results on the monotone and continuous operator,...
A discrete predator-prey system with age-structure for predator and natural barriers for prey
We analyze a two species discrete predator-prey model in which the prey disperses between two patches of a heterogeneous environment with barriers and the mature predator disperses between the patches with no barrier. By using the discrete dynamical system generated by a monotone, concave maps for subcommunity of prey, we obtain the subcommunity of prey exists an equilibrium which attracts all positive solutions, and using the stability trichotomy results on the monotone and continuous operator,...
A discrete two-sector economic growth model.
A focal boundary value problem for difference equations.
A generalization of Zeeman’s family
E. C. Zeeman [2] described the behaviour of the iterates of the difference equation , n ≥ k, R,Q polynomials in the case and , positive, α nonnegative. We generalize his results as well as those of Beukers and Cushman on the existence of an invariant measure in the case when R,Q are affine and k = 1. We prove that the totally invariant set remains residual when the coefficients vary.
A generalized sum-difference inequality and applications to partial difference equations.
A global convergence result for a higher order difference equation.
A Harnack inequality for solutions of difference differential equations of elliptic-parabolic type.
A Hille-Wintner type comparison theorem for second order difference equations.
A Laplace-like method for solving linear difference equations.
A Mathematical Analysis of Miller's Algorithm.
A model of cardiac tissue as an excitable medium with two interacting pacemakers having refractory time
A quite general model of the nonlinear interaction of two impulse systems describing some types of cardiac arrhythmias is developed. Taking into account a refractory time the phase locking phenomena are investigated. Effects of the tongue splitting and their interweaving in the parametric space are found. The results obtained allow us to predict the behavior of excitable systems with two pacemakers depending on the type and intensity of their interaction and the initial phase.
A necessary and sufficient condition for the existence of a unique solution of a discrete boundary value problem.
A new generalization of Ostrowski type inequality on time scales.
A new view on one problem of asymptotic behavior of solutions of delay difference equations.
A note on a general difference-functional equation.