Symmetric Positive Solutions for Nonlinear Singular Fourth-Order Eigenvalue Problems with Nonlocal Boundary Condition
We investigate nonlinear singular fourth-order eigenvalue problems with nonlocal boundary condition u(4)(t)-λh(t)f(t,u,u′′)=0, 0<t<1, u(0)=u(1)=∫01a(s)u(s)ds, u′′(0)=u′′(1)=∫01b(s)u′′(s)ds, where a,b∈L1[0,1], λ>0, h may be singular at t=0 and/or 1. Moreover f(t,x,y) may also have singularit...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2010-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2010/187827 |