On a periodic time-dependent model of population dynamics with stage structure and impulsive effects.
On an infinite-dimensional differential equation in vector distributions with discontinuous regular functions on the right hand side.
On eventual stability of impulsive systems of differential equations.
On exact controllability of first-order impulsive differential equations.
On initial value problems for a class of first order impulsive differential inclusions
We investigate the existence of solutions to first order initial value problems for differential inclusions subject to impulsive effects. We shall rely on a fixed point theorem for condensing maps to prove our results.
On non-absolute functional Volterra integral equations and impulsive differential equations in ordered Banach spaces.
On nonresonance impulsive functional differential equations with periodic boundary conditions.
On nonresonance impulsive functional nonconvex valued differential inclusions
In this paper a fixed point theorem for contraction multivalued maps due to Covitz and Nadler is used to investigate the existence of solutions for first and second order nonresonance impulsive functional differential inclusions in Banach spaces.
On periodic boundary value problems of first-order perturbed impulsive differential inclusions.
On positive solutions for a nonlinear boundary value problem with impulse
In this paper we study nonlinear second order differential equations subject to separated linear boundary conditions and to linear impulse conditions. Sign properties of an associated Green’s function are investigated and existence results for positive solutions of the nonlinear boundary value problem with impulse are established. Upper and lower bounds for positive solutions are also given.
On properties of nonlinear second-order systems under nonlinear impulse perturbations.
On second-order multivalued impulsive functional differential inclusions in Banach spaces.
On Semicontinuity in Impulsive Dynamical Systems
In the important paper on impulsive systems [K1] several notions are introduced and several properties of these systems are shown. In particular, the function ϕ which describes "the time of reaching impulse points" is considered; this function has many important applications. In [K1] the continuity of this function is investigated. However, contrary to the theorem stated there, the function ϕ need not be continuous under the assumptions given in the theorem. Suitable examples are shown in this paper....
On Stability in Impulsive Dynamical Systems
Several results on stability in impulsive dynamical systems are proved. The first main result gives equivalent conditions for stability of a compact set. In particular, a generalization of Ura's theorem to the case of impulsive systems is shown. The second main theorem says that under some additional assumptions every component of a stable set is stable. Also, several examples indicating possible complicated phenomena in impulsive systems are presented.
On the concept of general solution for impulsive differential equations of fractional-orderq∈ (2,3)
In this paper, we find the formula of general solution for a generalized impulsive differential equations of fractional-order q ∈ (2, 3).
On the existence of almost periodic Lyapunov functions for impulsive differential equations.
On the existence of equilibrium points, boundedness, oscillating behavior and positivity of a SVEIRS epidemic model under constant and impulsive vaccination.
On the existence of solutions for nonlinear impulsive periodic viable problems
In this paper we prove the existence of periodic solutions for nonlinear impulsive viable problems monitored by differential inclusions of the type x′(t)∈F(t,x(t))+G(t,x(t)). Our existence theorems extend, in a broad sense, some propositions proved in [10] and improve a result due to Hristova-Bainov in [13].
On the study of chemostat model with pulsed input in a polluted environment.
On the -stability of impulsive dynamic system on time scales.