Dissertation > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Differential equations, integral equations > Boundary Value Problems

Multiple Positive Solutions of Lidstone Boundary Value Problems

Author PangYanNi
Tutor JiangDaQing
School Northeast Normal University
Course Applied Mathematics
Keywords Existence Multiple positive solutions Cone Fixed point index Lidstone boundary value problem
CLC O175.8
Type Master's thesis
Year 2011
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In this paper, we discuss the existence of multiple positive solutions for the Lidstone boundary value problem (BVP) where n≥1,f:[0,1]×[0,∞)→[0,∞) is continuous and (?)ci1π2i<π2n. Existence is established via the theory of fixed point index in cones.

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