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Controllability of Second Order Semi-Linear Neutral Functional Differential Inclusions in Banach Spaces

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Mediterranean Journal of Mathematics Aims and scope Submit manuscript

Abstract.

In this article, we investigate sufficient conditions for controllability of second order semi-linear neutral functional initial value problem for the class of differential inclusions in Banach spaces using the theory of strongly continuous cosine families. We shall rely on a fixed point theorem due to Ma for multi-valued maps. An example is provided to illustrate the result. This work is motivated by the paper of Benchohra, Gorniewicz and Ntouyas [7].

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Authors and Affiliations

  1. Department of Mathematical Sciences, University of Delaware, Delaware, 19716, U.S.A

    Raju K. George

  2. Department of Applied Mathematics, Faculty of Tech. & Eng., M.S. University of Baroda, Vadodara, 390001, India

    Dimplekumar N. Chalishajar

  3. Department of Mathematics, Indian Institute of Science, Bangalore, 560012, India

    Akambadath K. Nandakumaran

Authors
  1. Raju K. George
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  2. Dimplekumar N. Chalishajar
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  3. Akambadath K. Nandakumaran
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Correspondence to Raju K. George.

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In honour of Prof. M.C. Joshi, IIT Bombay, INDIA.

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George, R.K., Chalishajar, D.N. & Nandakumaran, A.K. Controllability of Second Order Semi-Linear Neutral Functional Differential Inclusions in Banach Spaces. MedJM 1, 463–477 (2004). https://doi.org/10.1007/s00009-004-0024-4

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  • DOI: https://doi.org/10.1007/s00009-004-0024-4

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