Multiple solutions for nonresonance impulsive functional differential equations.
Multipoint BVPs for second-order functional differential equations with impulses.
New existence results of anti-periodic solutions of nonlinear impulsive functional differential equations
This paper is a continuation of Y. Liu, Anti-periodic solutions of nonlinear first order impulsive functional differential equations, Math. Slovaca 62 (2012), 695–720. By using Schaefer's fixed point theorem, new existence results on anti-periodic solutions of a class of nonlinear impulsive functional differential equations are established. The techniques to get the priori estimates of the possible solutions of the mentioned equations are different from those used in known papers. An example is...
Nonlinear boundary value problem of first-order impulsive functional differential equations.
Nonlinear delay integral inequalities for piecewise continuous functions and applications.
Nonresonance impulsive higher order functional nonconvex-valued differential inclusions.
On nonresonance impulsive functional differential equations with periodic boundary conditions.
On second-order multivalued impulsive functional differential inclusions in Banach spaces.
On the Dynamics of an Impulsive Model of Hematopoiesis
We propose and analyze a nonlinear mathematical model of hematopoiesis, describing the dynamics of stem cell population subject to impulsive perturbations. This is a system of two age-structured partial differential equations with impulses. By integrating these equations over the age, we obtain a system of two nonlinear impulsive differential equations with several discrete delays. This system describes the evolution of the total hematopoietic stem cell populations with impulses. We first examine...
Optimal control of impulsive stochastic evolution inclusions
In this paper, we consider a class of infinite dimensional stochastic impulsive evolution inclusions driven by vector measures. We use stochastic vector measures as controls adapted to an increasing family of complete sigma algebras and prove the existence of optimal controls.
Oscillation and Periodicity of a Second Order Impulsive Delay Differential Equation with a Piecewise Constant Argument
This paper concerns with the existence of the solutions of a second order impulsive delay differential equation with a piecewise constant argument. Moreover, oscillation, nonoscillation and periodicity of the solutions are investigated.
Oscillation in second order linear delay differential equations with nonlinear impulses
Oscillation of high order linear functional differential equation with impulses.
Oscillation of the solutions of neutral impulsive differential-difference equations of first order.
Oscillations of second-order neutral impulsive differential equations.
Periodic solutions for a delayed predator-prey system with dispersal and impulses.
Periodicity in a delayed ratio-dependent predator-prey system with exploited term.
Permanence and periodic solution of predator-prey system with holling type functional response and impulses.
Positive periodic solutions for a predator-prey model with time delays and impulsive effect.
Positive periodic solutions for an impulsive ratio-dependent predator-prey system with delays.