The existence of two solutions, a positive and a negative, for a nonlinear fourth order equation with nonlinear boundary conditions is considered. The problem models the bending equilibrium of extensible beams on nonlinear elastic foundations. (c) 2005 Elsevier Ltd. All rights reserved.
机构:
Jiangxi Normal Univ, Coll Math & Informat Sci, Nanchang 330022, Jiangxi, Peoples R ChinaCent China Normal Univ, Sch Math & Stat, Hubei Key Lab Math Sci, Wuhan 430079, Peoples R China
机构:
China Univ Min & Technol, Dept Math, Xuzhou 221116, Jiangsu, Peoples R ChinaChina Univ Min & Technol, Dept Math, Xuzhou 221116, Jiangsu, Peoples R China
Zhang, Huixing
Zhang, Ran
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China Univ Min & Technol, Dept Math, Xuzhou 221116, Jiangsu, Peoples R ChinaChina Univ Min & Technol, Dept Math, Xuzhou 221116, Jiangsu, Peoples R China
机构:
Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R ChinaUniv South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China
Liu, Zhisu
Luo, Chaoliang
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Hunan Univ Technol, Coll Sci & Technol, Zhuzhou 412008, Hunan, Peoples R ChinaUniv South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China