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Controllability of Evolution Differential Inclusion with Nonlocal Condition in Banach Space

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Cybernetics Approaches in Intelligent Systems (CoMeSySo 2017)

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Abstract

In this paper, we consider the controllability of a class of evolution inclusion in Banach space. A sufficient condition is established by using the fixed-point theorem for multi-valued.

This work is supported by Educational Department Scientific Technology Program of Heilongjiang Province (12541678).

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References

  1. Deimling, K.: Multivalued Differential Equations. De Gruyter, Berlin (1992)

    Book  MATH  Google Scholar 

  2. Hu, S., Papageorgion, N.: Handbook of Multivalued Analysis. Kluwer, Dordrecht, Boston (1997)

    Book  Google Scholar 

  3. Pazy, A.: Semigroups of linear operators and applications to partial equations. In: Applied Mathematical Sciences, vol. 44, Springer, New York (1983)

    Google Scholar 

  4. Fitzgibbon, W.E.: Semilinear functional differential equations in Banach spaces. J. Differ. Eqn. 29, 1–14 (1978)

    Article  MathSciNet  MATH  Google Scholar 

  5. Dhage, B.C., Boucheif, A., Ntouyas, S.K.: On periodic boundary value problems of first-order perturbed impulsive differential inclusions. Electron. J. Differ. Eqn. 84, 1–9 (2004)

    Google Scholar 

  6. Lasota, A., Opial, Z.: An application of the Kakutani-Ky Fan theorem in the theory of ordinary differential equations. Bull. Acad. Polon. Sci. Ser. Sci. Math. Astronom. Phys. 13, 781–786 (1965)

    MathSciNet  MATH  Google Scholar 

  7. Casting, C., Valander, M.: Convex Analysis and Measurable Multi-function, vol. 580. Lecture Notes in Mathematics. Springer, Heidelberg (1977)

    Google Scholar 

  8. Gatsori, E.P.: Controllability results for nondensely defined evolution differential inclusions with nonlocal conditions. J. Math. Anal. 297, 194–211 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  9. Bohnenblust, H.F., Karlin, S.: On a theorem of Ville. Contributions to the theory of games. Ann. Math. Stud. 24, 155–160 (1950)

    MATH  Google Scholar 

  10. Guocheng, L., Xiaoping, X.: Controllability of evolution inclusions with nonlocal conditions. Appl. Math. Comput. 141, 375–384 (2003)

    MathSciNet  MATH  Google Scholar 

  11. Jinfeng, Y., Anni, C.: Controllability of second-order differential inclusion with non-local conditions. Aata Mathematica Sinica Chinses Series 53, 871–880 (2010)

    MATH  Google Scholar 

  12. Yosida, K.: Functional Analysis. Springer, Heidelberg (1978)

    Book  MATH  Google Scholar 

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Correspondence to Fan Guanghui .

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Guanghui, F., Jinfeng, Y., Qianhong, S. (2018). Controllability of Evolution Differential Inclusion with Nonlocal Condition in Banach Space. In: Silhavy, R., Silhavy, P., Prokopova, Z. (eds) Cybernetics Approaches in Intelligent Systems. CoMeSySo 2017. Advances in Intelligent Systems and Computing, vol 661. Springer, Cham. https://doi.org/10.1007/978-3-319-67618-0_5

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  • DOI: https://doi.org/10.1007/978-3-319-67618-0_5

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