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• W4297129175 abstract "This work concerns the study of approximate boundary controllability for some nonlinear partial functional integrodifferential equations with finite delay arising in the modeling of materials with memory, in the framework of general Banach spaces. We give sufficient conditions that ensure the approximate controllability of the system by supposing that its linear undelayed part is approximately controllable, admits a resolvent operator in the sense of Grimmer, and by making use of the Banach fixed-point Theorem and the continuity of the resolvent operator in the uniform norm-topology. As a result, we obtain a generalization of several important results in the literature, without assuming the compactness of the resolvent operator and the uniform boundedness of the nonlinear term. An example of applications is given for illustration." @default.
• W4297129175 created "2022-09-27" @default.
• W4297129175 creator A5028810625 @default.
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• W4297129175 date "2023-01-01" @default.
• W4297129175 modified "2023-10-18" @default.
• W4297129175 title "On the approximate boundary controllability of some partial functional integrodifferential equations with finite delay in Banach spaces" @default.
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• W4297129175 doi "https://doi.org/10.3934/eect.2022050" @default.
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