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| THE SYMMETRIC POSITIVE SOLUTIONS OF $2n$-ORDER BOUNDARY VALUE PROBLEMS ON TIME SCALES |
| Yangyang Yu,Linlin Wang,Yonghong Fan |
| (School of Math. and Statistics Science, Ludong University, Shandong 264025, PR China) |
| DOI： |
| Abstract: |
| In this paper, we are concerned with the symmetric positive solutions of a 2n-order boundary value problems on time scales. By using induction principle, the symmetric form of the Green's function is established. In order to construct a necessary and sufficient condition for the existence result, the method of iterative technique will be used. As an application, an example is given to illustrate our main result. |
| Key words: symmetric positive solutions; boundary value problems; induction principle; time scales; iterative technique |