Controllability of Semilinear Differential Systems with Nonlocal Initial Conditions in Banach Spaces

Y. K. Chang (), J. J. Nieto () and W. S. Li
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Y. K. Chang: Lanzhou Jiaotong University
J. J. Nieto: Universidad de Santiago de Compostela
W. S. Li: Lanzhou Jiaotong University

Journal of Optimization Theory and Applications, 2009, vol. 142, issue 2, No 1, 267-273

Abstract: Abstract In this note, we establish a sufficient condition for the controllability of a first-order semilinear differential system with nonlocal initial conditions in Banach spaces. The approach used is the Sadovskii fixed-point theorem combined with operator semigroups. Particularly, the compactness of the operator semigroups is not needed in this article.

Keywords: Controllability; Differential systems; Nonlocal initial conditions; Fixed points (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-009-9535-2

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