Monotone Iterative Technique and Symmetric Positive Solutions to Fourth-Order Boundary Value Problem with Integral Boundary Conditions
The purpose of this paper is to investigate the existence of symmetric positive solutions for a class of fourth-order boundary value problem: u4(t)+βu′′(t)=f(t,u(t),u′′(t)), 0<t<1, u(0)=u(1)=∫01p(s)u(s)ds, u′′(0)=u′′(1)=∫01qsu′′(s)ds, where p,q∈L1[0,1], f∈C([0,1]×[0,∞)×(-∞,0],[0,∞)). By usin...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2014-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2014/583875 |