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http://dx.doi.org/10.14317/jami.2011.29.1_2.191

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)
Publication Information
Journal of applied mathematics & informatics / v.29, no.1_2, 2011 , pp. 191-200 More about this Journal
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.
Keywords
Nonlinear mixed boundary conditions; Different deviated arguments; Monotone iterative technique; Lower-upper solutions method;
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