2017
Том 69
№ 9

All Issues

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

Nguyen Manh Hung, Tran Thi Loan

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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 → ∞.

English version (Springer): Ukrainian Mathematical Journal 54 (2002), no. 12, pp 2080-2087.

Citation Example: Nguyen Manh Hung, Tran Thi Loan On the Stability of Semilinear Nonautonomous Evolution Equations in Banach Spaces and Its Application to Strongly Parabolic Equations // Ukr. Mat. Zh. - 2002. - 54, № 12. - pp. 1714-1719.

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