충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제27권3호
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  • Pages.393-401
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  • 2014
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  • 1226-3524(pISSN)
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  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
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EXISTENCE OF MILD SOLUTIONS IN THE α-NORM FOR SOME PARTIAL FUNCTIONAL INTEGRODIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS

  • Jang, Hyun Ho (CNU Center for Innovative Engineering Education Chungnam National University)
  • 투고 : 2014.01.27
  • 심사 : 2014.06.30
  • 발행 : 2014.08.15
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초록

In this work, we discuss the existence of mild solutions in the ${\alpha}$-norm for some partial functional integrodifferential equations with infinite delay. We assume that the linear part generates an analytic semigroup on a Banach space X and the nonlinear part is a Lipschitz continuous function with respect to the fractional power norm of the linear part.

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참고문헌

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피인용 문헌

  1. EXITSENCE OF MILD SOLUTIONS FOR SEMILINEAR MIXED VOLTERRA-FREDHOLM FUNCTIONAL INTEGRODIFFERENTIAL EQUATIONS WITH NONLOCALS vol.28, pp.3, 2015, https://doi.org/10.14403/jcms.2015.28.3.365