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


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 → ∞.


Banach Space Evolution Equation Parabolic Equation Exponential Stability Zero Solution 
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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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