Application of the averaging method for the solution of boundary problems for ordinary differential and integro-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
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
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.
Continuous dependence of the solution of a system of differential equations with impulses on the initial condition
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Metody usredneniya dla odnoj dvuhtočečnoj kraevoj zadači dlya sistem integro-differencial'nyh uravnenij
Ob usrednenii v nekotoryh kvazilinejnyh sistemah obykhovennyh differencial'nyh uravnenij
Sushchestvovanie i edinstvennost' rešeniya obobshchennoj načal'noj zadači Koši dlya nekotoryh nelinejnyh integro-differencial'nyh uravnenij v Banahovom prostranstve
Kraevaya zadača dlya beskonečnoj sistemy differencial'nyh uravnenij
Povedenie rešenij zadači Koši dlya nelinejnyh sistem differncial'nyh uravnenij, soderžashchih parametr pri vseh proizvodnyh
Sushchestvovanie i edinstvennost' rešeniya odnoj kraevoj zadači dlya differencial'nogo uravneniya pervogo poryadka sverhnejtral'nogo tipa s parametrom
Asymptotic equivalence of impulsive differential equations in a Banach space.
By means of Schauder's fixed point theorem sufficient conditions for asymptotic equivalence of impulsive equations in a Banach space are found.
Oscillatory and asymptotic properties of the solutions of a class of operator-differential equations.
Abstract Volterra type integral equations
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