International Journal of Pure and Applied Mathematics
Positive solutions are obtained for the fourth order nonlocal boundary value problem, u(4)=f(x,u), 0 < x < 1, u(0) = u''(0) = u'(1) = u''(1) - u''(2/3)=0, where f(x,u) is singular at x = 0, x=1, y=0, and may be singular at y=∞. The solutions are shown to exist at fixed points for an operator that is decreasing with respect to a cone.
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Copyright © 2016, The Author(s)
Davis, John M.; Eloe, Paul W.; Graef, John R.; and Henderson, Johnny, "Positive Solutions for a Singular Fourth Order Nonlocal Boundary Value Problem" (2016). Mathematics Faculty Publications. 76.