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Second Order Impulsive Retarded Differential Inclusions with Nonlocal Conditions

Author

Listed:
  • Hernán R. Henríquez
  • Marcos Rabelo
  • Luciana Vale

Abstract

In this work we establish some existence results for abstract second order Cauchy problems modeled by a retarded differential inclusion involving nonlocal and impulsive conditions. Our results are obtained by using fixed point theory for the measure of noncompactness.

Suggested Citation

  • Hernán R. Henríquez & Marcos Rabelo & Luciana Vale, 2014. "Second Order Impulsive Retarded Differential Inclusions with Nonlocal Conditions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:131379
    DOI: 10.1155/2014/131379
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    References listed on IDEAS

    as
    1. Xiaoya Liu & Yongxiang Li, 2012. "Positive Solutions for Neumann Boundary Value Problems of Second-Order Impulsive Differential Equations in Banach Spaces," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-14, March.
    2. L. Byszewski, 1993. "Uniqueness criterion for solution of abstract nonlocal Cauchy problem," International Journal of Stochastic Analysis, Hindawi, vol. 6, pages 1-6, January.
    3. Xiaoya Liu & Yongxiang Li, 2012. "Positive Solutions for Neumann Boundary Value Problems of Second‐Order Impulsive Differential Equations in Banach Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    Full references (including those not matched with items on IDEAS)

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