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Volume 32, Issue 3
The Symmetric Positive Solutions of $2n$-Order Boundary Value Problems on Time Scales

Yangyang Yu, Linlin Wang & Yonghong Fan

Ann. Appl. Math., 32 (2016), pp. 311-321.

Published online: 2022-06

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  • 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.

  • Keywords

symmetric positive solutions, boundary value problems, induction principle, time scales, iterative technique.

  • AMS Subject Headings

34K10, 34B27

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAM-32-311, author = {Yu , YangyangWang , Linlin and Fan , Yonghong}, title = {The Symmetric Positive Solutions of $2n$-Order Boundary Value Problems on Time Scales}, journal = {Annals of Applied Mathematics}, year = {2022}, volume = {32}, number = {3}, pages = {311--321}, 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.

}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/20646.html} }
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.

Yu , YangyangWang , Linlin and Fan , Yonghong. (2022). The Symmetric Positive Solutions of $2n$-Order Boundary Value Problems on Time Scales. Annals of Applied Mathematics. 32 (3). 311-321. doi:
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