Impulsive boundary-value problems for first-order integro-differential equations.
Impulsive controllability of linear dynamical systems with applications to maneuvers of spacecraft.
Impulsive differential inclusions with constraints.
Impulsive dynamic equations on a time scale.
Impulsive fractional differential equations in Banach spaces.
Impulsive Fractional Differential Inclusions Involving the Caputo Fractional Derivative
Mathematics Subject Classification: 26A33, 34A37.In this paper, we establish sufficient conditions for the existence of solutions for a class of initial value problem for impulsive fractional differential inclusions involving the Caputo fractional derivative. Both cases of convex and nonconvex valued right-hand side are considered. The topological structure of the set of solutions is also considered.
Impulsive integrodifferential equations involving nonlocal initial conditions.
Impulsive semilinear neutral functional differential inclusions with multivalued jumps
In this paper we establish sufficient conditions for the existence of mild solutions and extremal mild solutions for some densely defined impulsive semilinear neutral functional differential inclusions in separable Banach spaces. We rely on a fixed point theorem for the sum of completely continuous and contraction operators.
Impulsive stabilization of high-order nonlinear retarded differential equations
In this paper, impulsive stabilization of high-order nonlinear retarded differential equations is investigated by using Lyapunov functions and some analysis methods. Our results show that several non-impulsive unstable systems can be stabilized by imposition of impulsive controls. Some recent results are extended and improved. An example is given to demonstrate the effectiveness of the proposed control and stabilization methods.
Integral Manifolds and Bounded Solutions of Singularly Perturbed Systems of Impulsive Differential Equations
Sufficient conditions for the existence of bounded solutions of singularly perturbed impulsive differential equations are obtained. For this purpose integral manifolds are used.
Integral Manifolds and Perturbations of the Nonlinear Part of Systems of Autonomous Differential Equations with Impulses at Fixed Moments
* This investigation was supported by the Bulgarian Ministry of Science and Education under Grant MM-7.Sufficient conditions are obtained for the existence of local integral manifolds of autonomous systems of differential equations with impulses at fixed moments. In case of perturbations of the nonlinear part an estimate of the difference between the manifolds is obtained.
Integral manifolds of impulsive differential equations.
Interval criteria for oscillation of second-order impulsive differential equation with mixed nonlinearities.