Boundary value problems for systems of nonlinear integro-differential equations with deviating arguments

  • Authors:
  • Guotao Wang

  • Affiliations:
  • School of Mathematics and Computer Science, Shanxi Normal University, Linfen, Shanxi 041004, PR China

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2010

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Abstract

By establishing a comparison result and using the method of upper and lower solutions and the monotone iterative technique, we investigate the systems of nonlinear mixed integro-differential equations with deviating arguments and mixed boundary value conditions. Sufficient conditions are established for the existence of extremal system of solutions of the given problem.