Some Existence Results of Positive Solution to Second-Order Boundary Value Problems
We study the existence of positive and monotone solution to the boundary value problem u′′(t)+f(t,u(t))=0, 0⩽t⩽1, u(0)=ξu(1), u'(1)=ηu'(0), where ξ,η∈(0,1)∪(1,∞). The main tool is the fixed point theorem of cone expansion and compression of functional type by Avery, Henderson, and O’Regan....
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/516452 |