The Symmetric Positive Solutions of $2n$-Order Boundary Value Problems on Time Scales

The Symmetric Positive Solutions of $2n$-Order Boundary Value Problems on Time Scales

Year:    2016

Author:    Yangyang Yu, Linlin Wang, Yonghong Fan

Annals of Applied Mathematics, Vol. 32 (2016), Iss. 3 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2016-AAM-20646

Annals of Applied Mathematics, Vol. 32 (2016), Iss. 3 : pp. 311–321

Published online:    2016-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    11

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

Author Details

Yangyang Yu

Linlin Wang

Yonghong Fan