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\(L_ p\)-equivalence of a linear and a nonlinear impulsive differential equation in a Banach space

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Publication:1176581
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DOI10.1016/0022-247X(91)90203-CzbMath0745.34012OpenAlexW2083447272WikidataQ115364502 ScholiaQ115364502MaRDI QIDQ1176581

D. D. Bainov, Peter P. Zabreĭko, Stepan Kostadinov

Publication date: 25 June 1992

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(91)90203-c


zbMATH Keywords

exponential dichotomyimpulse effect\(L_ p\)-equivalenceweakly nonlinear impulsive system


Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Nonlinear differential equations in abstract spaces (34G20)




Cites Work

  • Stability of the general exponent of nonlinear impulsive differential equations in a Banach space
  • Stability of the notion of dichotomy of linear impulsive differential equations in a Banach space
  • On the asymptotic relationships between solutions of two systems of ordinary differential equations
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