Journal of the Korean Society for Industrial and Applied Mathematics

  • 제15권4호
  • /
  • Pages.253-265
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  • 2011
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  • 1226-9433(pISSN)
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  • 1229-0645(eISSN)
한국산업응용수학회 (Korean Society for Industrial and Applied Mathematics)
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EXISTENCE OF SOLUTIONS FOR DOUBLE PERTURBED IMPULSIVE NEUTRAL FUNCTIONAL EVOLUTION EQUATIONS

  • Vijayakumar, V. (Department of mathematics, info institute of engineering) ;
  • Sivasankaran, S. (Department of mathematics, sungkyunkwan university) ;
  • Arjunan, M. Mallika (Department of mathematics, karunya university)
  • 투고 : 2010.10.01
  • 심사 : 2011.11.18
  • 발행 : 2011.12.25
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초록

In this paper, we study the existence of mild solutions for double perturbed impulsive neutral functional evolution equations with infinite delay in Banach spaces. The existence of mild solutions to such equations is obtained by using the theory of the Hausdorff measure of noncompactness and Darbo fixed point theorem, without the compactness assumption on associated evolution system. An example is provided to illustrate the theory.

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참고문헌

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피인용 문헌

  1. Solvability of impulsive partial neutral second-order functional integro-differential equations with infinite delay vol.2013, pp.1, 2011, https://doi.org/10.1186/1687-2770-2013-203
  2. GLOBAL EXISTENCE FOR VOLTERRA-FREDHOLM TYPE FUNCTIONAL IMPULSIVE INTEGRODIFFERENTIAL EQUATIONS vol.17, pp.1, 2013, https://doi.org/10.12941/jksiam.2013.17.017