A class of impulsive pulse-width sampler systems and its steady-state control in infinite dimensional spaces.
A discrete-continuous model for bisexual population dynamics.
A predator-prey model with state dependent impulsive effects
We investigate a Lotka-Volterra predator-prey model with state dependent impulsive effects, in which the control strategies by releasing natural enemies and spraying pesticide at different thresholds are considered. We present some sufficient conditions to guarantee the existence and asymptotical stability of semi-trivial periodic solutions and positive periodic solutions.
A second-order impulsive Cauchy problem.
A survey on oscillation of impulsive ordinary differential equations.
Affinity integral manifolds for impulsive differential equations.
An existence result for first order initial value problems for impulsive differential inclusions in Banach spaces
In this paper, a nonlinear alternative for multivalued maps is used to investigate the existence of solutions of first order impulsive initial value problem for differential inclusions in Banach spaces.
An extended method of quasilinearization for nonlinear impulsive differential equations with a nonlinear three-point boundary condition.
An impulsive two-prey one-predator system with seasonal effects.
Analysis of an impulsive predator-prey system with Monod-Haldane functional response and seasonal effects.
Application of Lakshmikantham's monotone-iterative technique to the solution of the initial value problem for impulsive integro-differential equations.
Application of Lyapunov's Direct Method to the Existence of Integral Manifolds of Impulsive Differential Equations
The present paper investigates the existence of integral manifolds for impulsive differential equations with variable perturbations. By means of piecewise continuous functions which are generalizations of the classical Lyapunov’s functions, sufficient conditions for the existence of integral manifolds of such equations are found.
Asymptotic behavior of discrete solutions to impulsive logistic equations.
Asymptotic dichotomy in a class of third-order nonlinear differential equations with impulses.
Asymptotic equivalence of impulsive differential equations in a Banach space.
By means of Schauder's fixed point theorem sufficient conditions for asymptotic equivalence of impulsive equations in a Banach space are found.
Asymptotic stability and instability with respect to part of variables for solutions to impulsive systems.
Averaging method for neutral type impulsive differential equations with supremums