Opuscula Math. 32, no. 2 (2012), 377-394
http://dx.doi.org/10.7494/OpMath.2012.32.2.377

 
Opuscula Mathematica

On a nonlinear integrodifferential evolution inclusion with nonlocal initial conditions in Banach spaces

Zuomao Yan

Abstract. In this paper, we discuss the existence results for a class of nnlinear integrodifferential evolution inclusions with nonlocal initial conditions in Banach spaces. Our results are based on a fixed point theorem for condensing maps due to Martelli and the resolvent operators combined with approximation techniques.

Keywords: nonlinear integrodifferential evolution inclusions, fixed point, resolvent operator, nonlocal initial condition.

Mathematics Subject Classification: 34A60, 34G20, 34G25.

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  • Zuomao Yan
  • Hexi University, Department of Mathematics, Zhangye, Gansu 734000, P.R. China
  • Received: 2011-03-01.
  • Revised: 2011-04-04.
  • Accepted: 2011-04-07.
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Cite this article as:
Zuomao Yan, On a nonlinear integrodifferential evolution inclusion with nonlocal initial conditions in Banach spaces, Opuscula Math. 32, no. 2 (2012), 377-394, http://dx.doi.org/10.7494/OpMath.2012.32.2.377

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