The intolerance-to-delay (ID) task, classically used to measure behavioural impulsivity in rodent models, requires the setting of specific temporal constraints: daily session length, reward delay intervals, and duration of timeout, i.e. the period following food delivery during which responding is without scheduled consequences. Here we focus on the impact of the timeout (TO) interval, to ascer...

Abstract. This paper deals with a class of uncertain nonlinear impulsive switched systems with time-varying delays. A novel type of piecewise Lyapunov functionals is constructed to derive the exponential stability. This type of functionals can efficiently overcome the impulsive and switching jump of adjacent Lyapunov functionals at impulsive switching times. Based on this, a delay-independent s...

This paper investigates robust finite-time H∞ control for a class of impulsive switched nonlinear systems with time-delay. Firstly, using piecewise Lyapunov function, sufficient conditions ensuring finite-time boundedness of the impulsive switched system are derived. Then, finite-time H∞ performance analysis for impulsive switched systems is developed, and a robust finite-time H∞ state feedback...

Individual differences in impulsive and risky choice are key risk factors for a variety of maladaptive behaviors such as drug abuse, gambling, and obesity. In our rat model, ordered individual differences are stable across choice parameters, months of testing, and span a broad spectrum, suggesting that rats, like humans, exhibit trait-level impulsive and risky choice behaviors. In addition, imp...

A necessary and sufficient condition is established for the existence of periodic solutions of linear impulsive differential equations with distributed delay.

* Correspondence: [email protected]; [email protected] Yangtze Center of Mathematics, Sichuan University, Chengdu 610064, P. R. China Full list of author information is available at the end of the article Abstract In this paper, we consider a class of impulsive difference equations with distributed delays. By establishing an impulsive delay difference inequality and using the propertie...

K e y w o r d s D e l a y , Differential equation, Impulses, Fixed point. 1. I N T R O D U C T I O N The object of this paper is to present existence and uniqueness results about the solution of a system of delay-differential equations with infinitely many state-dependent impulses. This type of problem is characterized by jumps in the solution of the system. The system is (s) = / ( t , x , ) + ...

and Applied Analysis 3 Note that V(t∗) = Q(t∗) + C 2 ‖Φ‖ τ e ∫ t ∗

In this work we present some new results concerning the existence and uniqueness of solutions to an impulsive first-order, nonlinear ordinary differential equation with “non-periodic” boundary conditions. These boundary conditions include, as a special case, so-called “anti-periodic” boundary conditions. Our methods to prove the existence and uniqueness of solutions involve new differential ine...