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Classifications and existence of positive solutions of a higher order nonlinear difference equation

Wan-Tong Li; Sui Cheng — 2000

Colloquium Mathematicae

A classification scheme for the eventually positive solutions of a class of higher order nonlinear difference equations is given in terms of their asymptotic magnitudes, and necessary as well as sufficient conditions for the existence of such solutions are provided.

Oscillation of nonlinear neutral delay differential equations with applications

Wan-Tong Li; S. H. Saker — 2001

Annales Polonici Mathematici

We consider nonlinear neutral delay differential equations with variable coefficients. Finite and infinite integral conditions for oscillation are obtained. As an example, the neutral delay logistic differential equation is discussed.

Periodic solutions and stability for a delayed discrete ratio-dependent predator-prey system with Holling-type functional response.

Wang, Lin-Lin; Li, Wan-Tong — 2004

Discrete Dynamics in Nature and Society

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Classifications and existence of positive solutions of a higher order nonlinear difference equation

Oscillation of nonlinear neutral delay differential equations with applications

Existence and global stability of positive periodic solutions of a discrete delay competition system.

Global stability of delayed Hopfield neural networks under dynamical thresholds.

Permanence and global stability of positive solutions of a nonautonomous discrete ratio-dependent predator-prey model.

Global existence of periodic solutions in a simplified four-neuron BAM neural network model with multiple delays.

Stability and bifurcation in a simplified four-neuron bam neural network with multiple delays.

Periodic solution of second-order Hamiltonian systems with a change sign potential on time scales.

Boundedness and global attractivity of a higher-order nonlinear difference equation.

Dynamics of a nonautonomous semiratio-dependent predator-prey system with nonmonotonic functional responses.

Harmless delays in a discrete ratio-dependent periodic predator-prey system.

Classification and existence of positive solutions to nonlinear dynamic equations on time scales.

Periodic solutions and stability for a delayed discrete ratio-dependent predator-prey system with Holling-type functional response.

Attractivity in a nonlinear delay difference equation.

Interval oscillation criteria for second order forced nonlinear matrix differential equations.

A classification scheme for positive solutions to second order nonlinear iterative differential equations.

Dynamics of a rational difference equation.

Existence criteria and classification schemes for positive solutions of second-order nonlinear difference systems.

Existence and global stability of positive periodic solutions of a discrete predator-prey system with delays.