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Symmetric positive solutions for -Laplacian fourth-order differential equations with integral boundary conditions

✍ Scribed by Xuemei Zhang; Meiqiang Feng; Weigao Ge


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
572 KB
Volume
222
Category
Article
ISSN
0377-0427

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✦ Synopsis


This paper investigates the existence and multiplicity of symmetric positive solutions for a class of p-Laplacian fourth-order differential equations with integral boundary conditions. The arguments are based upon a specially constructed cone and the fixed point theory for cones. The nonexistence of a positive solution is also studied.


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✍ Xinan Hao; Lishan Liu; Yonghong Wu πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 266 KB

This paper is concerned with a class of second order impulsive differential equations with integral boundary conditions. Under different combinations of superlineary and sublinearity of nonlinear term and the impulses, various existence, multiplicity, and nonexistence results for positive solutions