Advances in Differential Equations and Control Processes
Volume 14, Issue 1, Pages 1 - 10
(August 2014)
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EXISTENCE OF SOLUTIONS OF MIXED TWO-POINT BOUNDARY VALUE PROBLEMS FOR NONLINEAR FOURTH-ORDER DIFFERENTIAL EQUATION
Yongxin Gao and Peizhao Yu
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Abstract: In this paper, the authors study the fourth-order nonlinear ordinary differential equation
![](/admin/tinymce_uploads/sbp70in_thi1.gif)
with the mixed two-point boundary conditions
![](/admin/tinymce_uploads/sbp71in_thi2.gif)
![](/admin/tinymce_uploads/sbp72in_thi3.gif)
where is continuous, are nonnegative constants and are positive constants. Some new existence results are obtained by developing the upper and lower solution method and the monotone iterative technique. Some applications are also presented. |
Keywords and phrases: upper-lower solution method; mixed two-point boundary conditions; nonlinear fourth-order differential equation. |
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