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D. D. Bainov S. I. Kostadinov P. P. Zabreiko 《International Journal of Theoretical Physics》1992,31(8):1521-1526
Necessary and sufficient conditions for the existence of an exponential dichotomy of impulsive differential equations in a Hilbert space are found. 相似文献
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S. G. Hristova D. D. Bainov G. F. Roach 《Mathematical Methods in the Applied Sciences》1986,8(1):247-255
The paper considers a system of differential equations with impulse perturbations at fixed moments in time of the form where x ? R n, ε is a small parameter, Sufficient conditions have been found for existence of the periodic solution of the given system in the critical and non-critical cases. 相似文献
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A functional-differential equation ofn-th order is considered, wheren≥2,m≥1 are integers andA t/t: C([t0, ∞), R)→ R, i=1,2,...,m are functionals defined for everyt∈[t 0, ∞). Sufficient conditions have been found for which all bounded non-oscillatory solutions and all non-oscillatory solutions of the functional-differntial equation tend to zero fort→∞. 相似文献
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A method is developed for finding approximately the periodic solutions of nonlinear systems of difference-differential equations with impulses at fixed moments. 相似文献
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N. V. Milev D. D. Bainov G. F. Roach 《Mathematical Methods in the Applied Sciences》1989,11(2):271-278
In the present paper sufficient conditions for stability of the solutions of linear systems of differential equations with variable structure and impulse effect are found. 相似文献
6.
Oscillation of solutions of impulsive nonlinear parabolic differential-difference equations 总被引:6,自引:0,他引:6
Sufficient conditions for oscillation of the solutions of impulsive nonlinear parabolic differential-difference equations are obtained. 相似文献
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The paper deals with some linear as well as some non-linear generalizations of integral inequalities of Bellman-Bihari type for functions of several variables when the integration domain is a parallelepiped. 相似文献
8.
The strong stability of the zero solution of impulsive systems with impulses at fixed moments of time is investigated. It is proved that the existence of piecewise continuous functions with certain properties is a necessary and sufficient condition for the strong stability of the zero solution of such systems. By using differential inequalities for piecewise continuous functions, sufficient conditions for the strong stability of the zero solution are found. 相似文献
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