On behavior as \(t\to +\infty\) of solutions of some nonautonomous equations (Q2644832)
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| Language | Label | Description | Also known as |
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| English | On behavior as \(t\to +\infty\) of solutions of some nonautonomous equations |
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On behavior as \(t\to +\infty\) of solutions of some nonautonomous equations (English)
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1990
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The author considers a family of nonlinear evolution operators \(S_{t,\tau}\) on the Banach space E and corresponding to this family limit semigroup \(S_ t\) having a maximal attractor. Conditions under which the behaviour for \(t\to +\infty\) of \(S_{t,\tau}\) is determined by \(S_ t\) are found. Corresponding theorems for parabolic-type and for hyperbolic-type equations are formulated.
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parabolic
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hyperbolic equation
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family of nonlinear evolution operators
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Banach space
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limit semigroup
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maximal attractor
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