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Martynyuk, Anatoliy A.; Stamov, Gani T.; Stamova, Ivanka

Asymptotic equivalence of ordinary and impulsive operator-differential equations. (English) Zbl 1479.34113

Commun. Nonlinear Sci. Numer. Simul. 78, Article ID 104891, 11 p. (2019).
Summary: In this paper, the global asymptotic equivalence of ordinary and impulsive operator-differential equations with nonlinear impulsive operators is investigated. A technique based on the contraction mapping principle is applied. Some known results are improved and generalized. Since the impulsive operator-differential equation is quite general, our results can be applied in the qualitative investigations of many practical problems of diverse interest.

Cited in 1 Document

MSC:

34G20 Nonlinear differential equations in abstract spaces
34C41 Equivalence and asymptotic equivalence of ordinary differential equations
34A37 Ordinary differential equations with impulses
47N20 Applications of operator theory to differential and integral equations

Keywords:

asymptotic equivalence; operator-differential equations; impulses
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References:

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