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FORCED OSCILLATIONS OF SOLUTIONS OF IMPULSIVE NONLINEAR PARABOLIC DIFFERENTIAL-DIFFERENCE EQUATIONS
Bainov, Drumi,Minchev, Emil Korean Mathematical Society 1998 대한수학회지 Vol.35 No.4
Sufficient conditions for forced oscillations of the solutions of impulsive nonlinear parabolic differential-difference equations are obtained.
Global Stability of the Solutions of Impulsive Functional Differential Equations
BAINOV, D.D. ..et al. KYUNGPOOK UNIVERSITY 1999 Kyungpook mathematical journal Vol.39 No.2
In the present paper the global stability is studied for the solutions of impulsive functional-differential equations with fixed moments of impulse effect. By means of piecewise continuous functions, which are generalizations of the classical Lyapunov functions, sufficient conditions are obtained for global stability of the zero solution of these equations.
Drumi Bainov ...et al KYUNGPOOK UNIVERSITY 1998 Kyungpook mathematical journal Vol.38 No.1
By means of Krasnosel'skii's fixed point theorem in the paper suffcient conditions are obtained for the existence of at least one bounded positive solution of an n-th order neutral operator-differential equation.
D.D. Bainov ... et al KYUNGPOOK UNIVERSITY 1999 Kyungpook mathematical journal Vol.39 No.1
Sufficient conditions are found for oscillation of the bounded solutions and for existence of bounded nonoscillatory solutions to a class of nonlinear impulsive differential equations of third order with retarded argument.
D. D. Bainov ...et al KYUNGPOOK UNIVERSITY 1999 Kyungpook mathematical journal Vol.39 No.1
Some asymptotic properties of the unbounded, nonoscillatory solutions of impulsive differential equations of n-th order with deviating argument and fixed moments of impulse effect are investigated.
ASYMPTOTIC BEHAVIOUR OF THE SOLUTIONS OF LINEAR IMPULSIVE DIFFERENTIAL EQUATIONS
Simeonov, P.S.,Bainov, D.D. Korean Mathematical Society 1994 대한수학회보 Vol.31 No.1
In the recent several years the theory of impulsive differential equations has made a rapid progress (see [1] and [2] and the references there). The questions of stability and periodicity of the solutions of these equations have been elaborated in sufficient details while their asymptotic behaviour has been little studied. In the present paper the asymptotic behaviour of the solutions of linear impulsive differential equations is investigated, generalizing the results of J. W. Macki and J.S. Muldowney, 1970 [3], related to ordinary differential equations without impulses.
CRITERIA FOR DICHOTOMY OF LINEAR INPULSIVE DIFFERENTIAL EQUATIONS
P.S.Simeonov,D.D.Bainov 대한수학회 1993 대한수학회지 Vol.30 No.2
Let Z be the set of all intergers. Let S be the set of real or complex numbers, and let T = (ω_-,ω_+) ⊂ R be a real interval which can be bounded or unbounded. Consider the linear impulsive differential equations x^'=A(t)x, t≠τ_k, x^+=A_kx, t=τ_k,