Abstract
This paper is concerned with the study of existence theorems for multivalued differential systems in infinite-dimensional Banach space: the method used is based on techniques (extension theorem for linear operator, compactly convergent sequences) developed earlier by the authors for multivalued differential systems defined inn-dimensional vector spaces. As an application, the authors consider a distributed-parameter control problem arising in mathematical physics, more specifically, in the study of heat transfer in solids.
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Communicated by R. Conti
This work was performed under the auspices of the National Research Council of Italy (CNR).
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Anichini, G., Zecca, P. Multivalued differential equations in Banach space. An application to control theory. J Optim Theory Appl 21, 477–486 (1977). https://doi.org/10.1007/BF00933092
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DOI: https://doi.org/10.1007/BF00933092