TY - JOUR T1 - The Symmetric Positive Solutions of $2n$-Order Boundary Value Problems on Time Scales AU - Yu , Yangyang AU - Wang , Linlin AU - Fan , Yonghong JO - Annals of Applied Mathematics VL - 3 SP - 311 EP - 321 PY - 2022 DA - 2022/06 SN - 32 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/aam/20646.html KW - symmetric positive solutions, boundary value problems, induction principle, time scales, iterative technique. AB -

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.