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EXISTENCE OF SOLUTIONS TO FRACTIONAL DIFFERENTIAL EQUATIONS WITH MULTI-POINT BOUNDARY CONDITIONS AT RESONANCE IN HILBERT SPACES
Zhou, Hua-Cheng1; Ge, Fu-Dong2; Kou, Chun-Hai3
2016-02-29
Source PublicationELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN1072-6691
Pages16
AbstractThis 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.
KeywordFractional differential equations resonance coincidence degree
Language英语
Funding ProjectChinese Universities Scientific Fund[CUSF-DH-D-2014061] ; Natural Science Foundation of Shanghai[15ZR1400800] ; National Natural Science Foundation of China[11526164]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000376974400003
PublisherTEXAS STATE UNIV
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/22815
Collection中国科学院数学与系统科学研究院
Affiliation1.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
Recommended Citation
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.
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