• Title/Summary/Keyword: Different deviated arguments

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MIXED BOUNDARY VALUE PROBLEMS FOR SECOND ORDER DIFFERENTIAL EQUATIONS WITH DIFFERENT DEVIATED ARGUMENTS

  • Zhang, Lihong;Wang, Guotao;Song, Guangxing
    • Journal of applied mathematics & informatics
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    • v.29 no.1_2
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    • pp.191-200
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    • 2011
  • 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.