A discrete equivalent of the logistic equation.
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 focal boundary value problem for difference equations.
A functional equation characterizing cubic polynomials and its stability.
A generalization of Constantin's integral inequality and its discrete analogue.
A Generalization of Pachpatte Difference Inequalities
A global description of the positive solutions of sublinear second-order discrete boundary value problems.
A Hille-Wintner type comparison theorem for second order difference equations.
A KAM theorem for infinite-dimensional discrete systems.
A Lax formalism for the elliptic difference Painlevé equation.
A new generalization of Ostrowski type inequality on time scales.
A note on asymptotic stability of delay difference systems.
A note on heat kernel estimates on weighted graphs with two-sided bounds on the weights.
A note on the global attractivity of a discrete model of Nicholson's blowflies.
A note on the parabolic differential and difference equations.
A positive solution for singular discrete boundary value problems with sign-changing nonlinearities.
A role of the coefficient of the differential term in qualitative theory of half-linear equations
The aim of this contribution is to study the role of the coefficient in the qualitative theory of the equation , where with . We discuss sign and smoothness conditions posed on , (non)availability of some transformations, and mainly we show how the behavior of , along with the behavior of the graininess of the time scale, affect some comparison results and (non)oscillation criteria. At the same time we provide a survey of recent results acquired by sophisticated modifications of the Riccati...
A sharpening of discrete analogues of Wirtinger's inequality
A simple system of discrete two-scale difference equations.