EXISTENCE OF SOLUTIONS TO FRACTIONAL DIFFERENTIAL EQUATIONS WITH MULTI-POINT BOUNDARY CONDITIONS AT RESONANCE IN HILBERT SPACES

CSpace

	EXISTENCE OF SOLUTIONS TO FRACTIONAL DIFFERENTIAL EQUATIONS WITH MULTI-POINT BOUNDARY CONDITIONS AT RESONANCE IN HILBERT SPACES
	Zhou, Hua-Cheng 1; Ge, Fu-Dong 2; Kou, Chun-Hai 3
	2016-02-29
发表期刊	ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	1072-6691
页码	16
摘要	This article is devoted to investigating the existence of solutions to fractional multi-point boundary-value problems at resonance in a Hilbert space. More precisely, the dimension of the kernel of the fractional differential operator with the boundary conditions be any positive integer. We point out that the problem is new even when the system under consideration is reduced to a second-order ordinary differential system with resonant boundary conditions. We show that the considered system admits at least a solution by applying coincidence degree theory first introduced by Mawhin. An example is presented to illustrate our results.
关键词	Fractional differential equations resonance coincidence degree
语种	英语
资助项目	Chinese Universities Scientific Fund[CUSF-DH-D-2014061] ; Natural Science Foundation of Shanghai[15ZR1400800] ; National Natural Science Foundation of China[11526164]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000376974400003
出版者	TEXAS STATE UNIV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/22815
专题	中国科学院数学与系统科学研究院
通讯作者	Zhou, Hua-Cheng
作者单位	1.Acad Sinica, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Donghua Univ, Coll Informat Sci & Technol, Shanghai 201620, Peoples R China 3.Donghua Univ, Dept Appl Math, Shanghai 201620, Peoples R China
推荐引用方式 GB/T 7714	Zhou, Hua-Cheng,Ge, Fu-Dong,Kou, Chun-Hai. EXISTENCE OF SOLUTIONS TO FRACTIONAL DIFFERENTIAL EQUATIONS WITH MULTI-POINT BOUNDARY CONDITIONS AT RESONANCE IN HILBERT SPACES[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS,2016:16.
APA	Zhou, Hua-Cheng,Ge, Fu-Dong,&Kou, Chun-Hai.(2016).EXISTENCE OF SOLUTIONS TO FRACTIONAL DIFFERENTIAL EQUATIONS WITH MULTI-POINT BOUNDARY CONDITIONS AT RESONANCE IN HILBERT SPACES.ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS,16.
MLA	Zhou, Hua-Cheng,et al."EXISTENCE OF SOLUTIONS TO FRACTIONAL DIFFERENTIAL EQUATIONS WITH MULTI-POINT BOUNDARY CONDITIONS AT RESONANCE IN HILBERT SPACES".ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS (2016):16.