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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
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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.
出处 《Annals of Applied Mathematics》 2016年第3期311-321,共11页 应用数学年刊(英文版)
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)
关键词 symmetric positive solutions boundary value problems induction principle time scales iterative technique symmetric positive solutions boundary value problems induction principle time scales iterative technique
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