-adic difference-difference Lotka-Volterra equation and ultra-discrete limit.
Pachpatte inequalities on time scales.
Parallelisms between differential and difference equations
The paper deals with the higher-order ordinary differential equations and the analogous higher-order difference equations and compares the corresponding fundamental concepts. Important dissimilarities appear for the moving frame method.
Partial generalized synchronization theorems of differential and discrete systems
This paper presents two theorems for designing controllers to achieve directional partial generalized synchronization (PGS) of two independent (chaotic) differential equation systems or two independent (chaotic) discrete systems. Two numerical simulation examples are given to illustrate the effectiveness of the proposed theorems. It can be expected that these theorems provide new tools for understanding and studying PGS phenomena and information encryption.
Perfect observers for fractional discrete-time linear systems
A perfect (exact) fractional observer of discrete-time singular linear control system of fractional order is studied. Conditions for its existence are given. The obtained results are applied to the detectability problem of the class of systems under consideration.
Periodic and almost periodic solutions of functional difference equations with finite delay.
Periodic boundary value problems on time scales.
Periodic functions with difference functions
Periodic solutions and stability for a delayed discrete ratio-dependent predator-prey system with Holling-type functional response.
Periodic solutions for a numerical discretization neural network.
Periodic solutions for a system of difference equations.
Periodic solutions for subquadratic discrete Hamiltonian systems.
Periodicity and stability in neutral nonlinear dynamic equations with functional delay on a time scale.
Periodicity in distribution. I: Discrete systems.
Periodicity in quasipolynomial convolution.
Permanence and global attractivity of a delayed discrete predator-prey system with general Holling-type functional response and feedback controls.
Permanence and global attractivity of discrete predator-prey system with Hassell-Varley type functional response.
Permanence and global stability of positive periodic solutions of a discrete competitive system.
Permanence and stable periodic solution for a discrete competitive system with multidelays.
Permanence for a discrete model with feedback control and delay.