Ordinary dichotomy and perturbations of the coefficient matrix of the linear impulsive differential equation.
Ordinary dichotomy and perturbations of the coefficient matrix of the linear impulsive differential equation
Oscillation criteria for impulsive dynamic equations on time scales.
Oscillation criteria for second order impulsive dynamic equations on time scales.
Oscillation for higher order nonlinear ordinary differential equations with impulses.
Oscillation of impulsive conformable fractional differential equations
In this paper, we investigate oscillation results for the solutions of impulsive conformable fractional differential equations of the form tkDαpttkDαxt+rtxt+qtxt=0,t≥t0,t≠tk,xtk+=akx(tk−),tkDαxtk+=bktk−1Dαx(tk−),k=1,2,…. Some new oscillation results are obtained by using the equivalence transformation and the associated Riccati techniques.
Oscillation of solutions to impulsive dynamic equations on time scales.
Oscillation of the solutions of a class of impulsive differential equations with a deviating argument.
Oscillatory and nonoscillatory solutions for first order impulsive differential inclusions
In this paper we discuss the existence of oscillatory and nonoscillatory solutions of first order impulsive differential inclusions. We shall rely on a fixed point theorem of Bohnenblust-Karlin combined with lower and upper solutions method.
Oscillatory and nonoscillatory solutions for first order impulsive dynamic inclusions on time scales
In this paper we discuss the existence of oscillatory and nonoscillatory solutions for first order impulsive dynamic inclusions on time scales. We shall rely of the nonlinear alternative of Leray-Schauder type combined with lower and upper solutions method.
Oscillatory properties of solutions of impulsive differential equations with several retarded arguments.
Partial averaging for impulsive differential equations with supremum.
Periodic boundary value problem for nonlinear first order ordinary differential equations with impulses at fixed moments.
Periodic boundary value problems of impulsive differential equations.
Periodic Solutions for Nonlinear Evolution Equations with Non-instantaneous Impulses
In this paper, we consider periodic solutions for a class of nonlinear evolution equations with non-instantaneous impulses on Banach spaces. By constructing a Poincaré operator, which is a composition of the maps and using the techniques of a priori estimate, we avoid assuming that periodic solution is bounded like in [1-4] and try to present new sufficient conditions on the existence of periodic mild solutions for such problems by utilizing semigroup theory and Leray-Schauder's fixed point theorem....
Periodic solutions of linear differential equations with measures as coefficients
Periodic solutions of semilinear impulsive periodic system with time-varying generating operators on Banach space.
Picone type formula for non-selfadjoint impulsive differential equations with discontinuous solutions.
Properties of the Lp-solutions of linear impulsive equations in a Banach space. (Summary).
Properties of the Lp-solutions of linear impulsive equations in a Banach space.