Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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MIXED BOUNDARY VALUE PROBLEMS FOR SECOND ORDER DIFFERENTIAL EQUATIONS WITH DIFFERENT DEVIATED ARGUMENTS

  • Zhang, Lihong (School of Mathematics and Computer Science, Shanxi Normal University) ;
  • Wang, Guotao (School of Mathematics and Computer Science, Shanxi Normal University) ;
  • Song, Guangxing (Department of Mathematics, China University of Petroleum)
  • Received : 2010.03.25
  • Accepted : 2010.07.05
  • Published : 2011.01.30
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Abstract

This paper deals with second order differential equations with different deviated arguments ${\alpha}$(t) and ${\beta}$(t, ${\mu}$(t)). We investigate the existence of solutions of such problems with nonlinear mixed boundary conditions. To obtain corresponding results we apply the monotone iterative technique and the lower-upper solutions method. Two examples demonstrate the application of our results.

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References

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