Application of the averaging method for the solution of boundary problems for ordinary differential and integro-differential equations
Partial averaging for impulsive differential equations with supremum.
Integral inequalities of Gronwall type for piecewise continuous functions.
Oscillation and asymptotic behaviour of neutral equations with distributed delay
Sufficient conditions for oscillation and nonoscillation of the solutions of operator-differential equations with piecewise constant argument
Effective sufficient conditions for oscillation and nonoscillation of solutions of some operator-differential equations with piecewise constant argument are found.
Nonnegativity of the Cauchy matrix and exponential stability of a neutral type system of functional differential equations.
Stability of the solutions of impulsive integro-differential equations in terms of two measures
Population dynamics control in regard to minimizing the time necessary for the regeneration of a biomass taken away from the population
Almost Periodic Solutions of Singularly Perturbed Systems of Differential Equations with Impulse Effect.
Substantiation of the method of averaging for a two point boundary value problem for ordinary differential equations, unsolved with respect to the derivative
On an integral inequality for piecewise continuous functions
Bounded solutions of systems of differential equations with impulses
Initial-boundary value problems for impulsive parabolic functional differential equations
Theorems on differential inequalities generated by an initial-boundary value problem for impulsive parabolic functional differential equations are considered. Comparison results implying uniqueness criteria are proved.
Justification of the averaging method for multipoint boundary value problems for a class of functional-differential equations with maximums.
Asymptotic behaviour of the solutions of equations with impulse effect in a Banach space.
Global stability of sets for systems with impulses.
(h, h)-boundedness of the solutions of differential systems with impulses.
In the present paper the question of boundedness of the solutions of systems of differential equations with impulses in terms of two measures is considered. In the investigations piecewise continuous auxiliary functions are used which are an analogue of the classical Lyapunov's functions. The ideas of Lyapunov's second method are combined with the newest ideas of the theory of stability and boundedness of the solutions of systems of differential equations.
Oscillation of neutral differential equations with maxima.
In the paper ordinary neutral differential equations with ?maxima? are considered. Sufficient conditions for oscillation of all solutions are obtained.
Continuous dependence of the solution of a system of differential equations with impulses on the initial condition
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Global stability of sets for impulsive differential-difference equations by Lyapunov's direct method
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