摘要
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.
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.
基金
Supported by NNSF of China(11201213,11371183)
NSF of Shandong Province(ZR2010AM022,ZR2013AM004)
the Project of Shandong Provincial Higher Educational Science and Technology(J15LI07)
the Project of Ludong University High-Quality Curriculum(20130345)
the Teaching Reform Project of Ludong University in 2014(20140405)