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Ukrainian Mathematical Journal

, Volume 54, Issue 12, pp 2080–2087 | Cite as

On the Stability of Semilinear Nonautonomous Evolution Equations in Banach Spaces and Its Application to Strongly Parabolic Equations

  • Tran Thi Loan
  • Nguyen Manh Hung
Article
  • 34 Downloads

Abstract

The paper is concerned with the exponential stability of the zero solution of strongly nonautonomous parabolic equations. Conditions are found on time-dependent coefficients of a parabolic equation under which its solutions converge exponentially to 0 as t → ∞.

Keywords

Banach Space Evolution Equation Parabolic Equation Exponential Stability Zero Solution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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REFERENCES

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    Tran Thi Loan, “Lyapunov transformation and stability of differential equations in Banach spaces,” Ukr. Mat. Zh., 51, No. 10 (1999).Google Scholar

Copyright information

© Plenum Publishing Corporation 2002

Authors and Affiliations

  • Tran Thi Loan
    • 1
  • Nguyen Manh Hung
    • 1
  1. 1.Hanoi Pedagogic InstituteVietnam

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