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Controllability of Second-Order Differential and Integro-Differential Inclusions in Banach Spaces

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Abstract

In this paper, the controllability of second-order differential and integro-differential inclusions in Banach spaces are investigated. Two new results are obtained by using the theory of strongly continuous cosine families and a fixed point theorem for multivalued maps.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu, P. R. China

    Y. K. Chang (Lecturer) & W. T. Li (Professor)

  2. Department of Mathematics, Lanzhou Jiaotong University, Lanzhou, Gansu, P. R. China

    Y. K. Chang (Lecturer)

Authors
  1. Y. K. Chang
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  2. W. T. Li
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Communicated by F. Zirilli

Research supported by NNSF of China Grant 10571078, by NSF of Gansu Province of China Grant ZS011-A25-007-Z, and by the Teaching and Research Award Program for Outstanding Young Teacher in Higher Education Institutions, Ministry of Education of China.

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Chang, Y.K., Li, W.T. Controllability of Second-Order Differential and Integro-Differential Inclusions in Banach Spaces. J Optim Theory Appl 129, 77–87 (2006). https://doi.org/10.1007/s10957-006-9044-5

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