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On Impulsive Hyperbolic Differential Inclusions with Nonlocal Initial Conditions

Author

Listed:
  • Y.-K. Chang

    (Lanzhou Jiaotong University)

  • J. J. Nieto

    (Universidad de Santiago de Compostela)

  • W.-S. Li

    (Lanzhou Jiaotong University)

Abstract

This paper is focused mainly upon existence of solutions for a second-order impulsive hyperbolic differential inclusions with nonlocal initial conditions. By using some well-known fixed-point theorems, existence theorems are established when the multivalued map has convex or nonconvex values. As applications of these main theorems, some consequences are given for the sublinear growth cases.

Suggested Citation

  • Y.-K. Chang & J. J. Nieto & W.-S. Li, 2009. "On Impulsive Hyperbolic Differential Inclusions with Nonlocal Initial Conditions," Journal of Optimization Theory and Applications, Springer, vol. 140(3), pages 431-442, March.
    • Handle: RePEc:spr:joptap:v:140:y:2009:i:3:d:10.1007_s10957-008-9468-1
    DOI: 10.1007/s10957-008-9468-1
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    References listed on IDEAS

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    1. A. Miele & M. Ciarcià & M. W. Weeks, 2007. "Guidance Trajectories for Spacecraft Rendezvous," Journal of Optimization Theory and Applications, Springer, vol. 132(3), pages 377-400, March.
    2. A. Miele & M. W. Weeks & M. Ciarcià, 2007. "Optimal Trajectories for Spacecraft Rendezvous," Journal of Optimization Theory and Applications, Springer, vol. 132(3), pages 353-376, March.
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    Cited by:

    1. Y. K. Chang & W. S. Li, 2010. "Solvability for Impulsive Neutral Integro-Differential Equations with State-Dependent Delay via Fractional Operators," Journal of Optimization Theory and Applications, Springer, vol. 144(3), pages 445-459, March.
    2. Alka Chadha & Dwijendra N. Pandey, 2018. "Approximate Controllability of a Neutral Stochastic Fractional Integro-Differential Inclusion with Nonlocal Conditions," Journal of Theoretical Probability, Springer, vol. 31(2), pages 705-740, June.
    3. Balasubramaniam, P. & Tamilalagan, P., 2015. "Approximate controllability of a class of fractional neutral stochastic integro-differential inclusions with infinite delay by using Mainardi’s function," Applied Mathematics and Computation, Elsevier, vol. 256(C), pages 232-246.

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