Integral manifolds of impulsive differential equations.
Interval criteria for oscillation of second-order impulsive differential equation with mixed nonlinearities.
Linear distributional differential equations in the space of regulated functions
In the paper existence and uniqueness results for the linear differential system on the interval [0,1] with distributional coefficients and solutions from the space of regulated functions are obtained.
Linear distributional differential equations of the second order
The paper deals with the linear differential equation (0.1) with distributional coefficients and solutions from the space of regulated functions. Our aim is to get the basic existence and uniqueness results for the equation (0.1) and to generalize the known results due to F. V. Atkinson [At], J. Ligeza [Li1]-[Li3], R. Pfaff ([Pf1], [Pf2]), A. B. Mingarelli [Mi] as well as the results from the paper [Pe-Tv] concerning the equation (0.1).
Linear impulsive dynamic systems on time scales.
Lyapunov stability of closed sets in impulsive semidynamical systems.
Measure-differential inclusions in percussional dynamics.
Method of the quasilinearization for nonlinear impulsive differential equations with linear boundary conditions.
Monotone iterative method for semilinear impulsive evolution equations of mixed type in Banach spaces.
Multi-type synchronization of impulsive coupled oscillators via topology degree
The existence of synchronization is an important issue in complex dynamical networks. In this paper, we study the synchronization of impulsive coupled oscillator networks with the aid of rotating periodic solutions of impulsive system. The type of synchronization is closely related to the rotating matrix, which gives an insight for finding various types of synchronization in a united way. We transform the synchronization of impulsive coupled oscillators into the existence of rotating periodic solutions...
New class of boundary value problem for nonlinear fractional differential equations involving Erdélyi-Kober derivative
In this paper, we introduce a new class of boundary value problem for nonlinear fractional differential equations involving the Erdélyi-Kober differential operator on an infinite interval. Existence and uniqueness results for a positive solution of the given problem are obtained by using the Banach contraction principle, the Leray-Schauder nonlinear alternative, and Guo-Krasnosel'skii fixed point theorem in a special Banach space. To that end, some examples are presented to illustrate the usefulness...
Nonlinear delay integral inequalities for piecewise continuous functions and applications.
Nonlocal impulsive Cauchy problems for evolution equations.
Nonoscillation of the solutions of impulsive differential equations of third order.
Nonresonance impulsive higher order functional nonconvex-valued differential inclusions.
Novel method for generalized stability analysis of nonlinear impulsive evolution equations
In this paper, we discuss some generalized stability of solutions to a class of nonlinear impulsive evolution equations in the certain piecewise essentially bounded functions space. Firstly, stabilization of solutions to nonlinear impulsive evolution equations are studied by means of fixed point methods at an appropriate decay rate. Secondly, stable manifolds for the associated singular perturbation problems with impulses are compared with each other. Finally, an example on initial boundary value...
Null controllability of some impulsive evolution equation in a Hilbert space.
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.