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Multiple Nodal Solutions for Some Fourth-Order Boundary Value Problems via Admissible Invariant Sets
Yang, Yang2,3; Zhang, Jihui2; Zhang, Zhitao1
2008
发表期刊BOUNDARY VALUE PROBLEMS
ISSN1687-2770
页码12
摘要Existence and multiplicity results for nodal solutions are obtained for the fourth-order boundary value problem (BVP) u((4))(t) = f(t, u(t)), 0 < t < 1, u(0) = u(1) = u ''(0) = u ''(1) = 0, where f : [0, 1]xR -> R is continuous. The critical point theory and admissible invariant sets employed to discuss this problem. Copyright (C) 2008 Yang Yang et al.
DOI10.1155/2008/403761
语种英语
资助项目NNSF of China[10871096] ; NNSF of China[10671195] ; Foundation of Major Project of Science and Technology of Chinese Education Ministry ; SRFDP of Higher Education ; NSF of Education Committee of Jiangsu Province
WOS研究方向Mathematics
WOS类目Mathematics, Applied ; Mathematics
WOS记录号WOS:000260686100001
出版者SPRINGER INTERNATIONAL PUBLISHING AG
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/6053
专题中国科学院数学与系统科学研究院
通讯作者Zhang, Zhitao
作者单位1.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
2.Nanjing Normal Univ, Inst Math, Sch Math & Comp Sci, Nanjing 210097, Peoples R China
3.Jiangnan Univ, Sch Sci, Wuxi 214122, Peoples R China
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GB/T 7714
Yang, Yang,Zhang, Jihui,Zhang, Zhitao. Multiple Nodal Solutions for Some Fourth-Order Boundary Value Problems via Admissible Invariant Sets[J]. BOUNDARY VALUE PROBLEMS,2008:12.
APA Yang, Yang,Zhang, Jihui,&Zhang, Zhitao.(2008).Multiple Nodal Solutions for Some Fourth-Order Boundary Value Problems via Admissible Invariant Sets.BOUNDARY VALUE PROBLEMS,12.
MLA Yang, Yang,et al."Multiple Nodal Solutions for Some Fourth-Order Boundary Value Problems via Admissible Invariant Sets".BOUNDARY VALUE PROBLEMS (2008):12.
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