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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.

Yangyang Yu, Linlin Wang & Yonghong Fan. (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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