Stability for solutions to nonlinear nonautonomous evolution equations |
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Authors: | Seyedeh Marzieh Ghavidel |
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Institution: | 1. Department of Mathematics, Razi University, Kermanshah, Iran
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Abstract: | In this paper, we find an estimate on d(u(t), K(t)), where u is a mild solution to the nonautonomous Cauchy problem \({\dot{u}(t) + A(t)u(t) \ni 0,\, t \geq s, u(s) = u_0}\) . Here, A(t) is a family of nonlinear multivalued, ω-accretive operators in a Banach space X, with D(A(t)) possibly depending on t, and K(t) a family of closed subsets in X. |
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