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On the boundedness of solutions of perturbed linear systems

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Publication:1168483
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DOI10.1016/0022-247X(81)90256-0zbMath0493.34035MaRDI QIDQ1168483

Yoshinori Okazaki, Toshiaki Yoneyama, Tadayuki Hara

Publication date: 1981

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


zbMATH Keywords

uniform boundednessboundedness of solutionsultimate boundedness


Mathematics Subject Classification ID

Growth and boundedness of solutions to ordinary differential equations (34C11)


Related Items (2)

On the characterization of stability concepts of Volterra integro- differential equations ⋮ Continuability of solutions of perturbed differential equations



Cites Work

  • Unnamed Item
  • Unnamed Item
  • Remarks on the preservation of uniform stability from a linear system to its perturbed system
  • Dichotomies in stability theory
  • Linear differential equations and functional analysis. I
  • Perturbing uniform asymptotically stable nonlinear systems
  • On the boundedness properties of a perturbed nonlinear system
  • Perturbing Uniformly Stable Linear Systems with and without Attraction
  • Perturbing Uniform Ultimate Bounded Differential Systems
  • Boundedness Properties for Linear Ordinary Differential Equations


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