Existence results of second-order impulsive neutral functional integrodifferential inclusions with unbounded delay in Banach spaces

  • Authors:
  • Junhao Hu;Xinzhi Liu

  • Affiliations:
  • Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, Hubei 430074, People's Republic of China and College of Computer Science, South Central Univers ...;Department of Applied Mathematics, Faculty of Mathematics, University of Waterloo, Waterloo, Ontano, Canada N2L 3G1

  • Venue:
  • Mathematical and Computer Modelling: An International Journal
  • Year:
  • 2009

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Abstract

This paper investigates a class of second-order impulsive neutral functional integrodifferential inclusions with unbounded delay in Banach spaces. The existence of mild solutions of these inclusions is determined by using the theory of cosine families of bounded linear operators and a recent fixed point theorem for multivalued maps due to Dhage.